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Finding the Fourth Proportional to 105,843.48, 146,038.87 and 59,903.74

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Solution

The fourth proportional to 105,843.48, 146,038.87 and 59,903.74 is: 82,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,843.48 : 146,038.87 = 59,903.74 : x
  2. Step 2: Convert to fraction form
    105,843.48/146,038.87 = 59,903.74/x
  3. Step 3: Cross multiply
    105,843.48x = 146,038.87 × 59,903.74
  4. Step 4: Simplify right side
    105,843.48x = 8,748,274,498.37
  5. Step 5: Solve for x
    x = 8,748,274,498.37/105,843.48
  6. Step 6: Final answer
    x = 82,652.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.