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Finding the Fourth Proportional to 57,461.50, 86,014.02 and 31,100.86

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Solution

The fourth proportional to 57,461.50, 86,014.02 and 31,100.86 is: 46,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,461.50 : 86,014.02 = 31,100.86 : x
  2. Step 2: Convert to fraction form
    57,461.50/86,014.02 = 31,100.86/x
  3. Step 3: Cross multiply
    57,461.50x = 86,014.02 × 31,100.86
  4. Step 4: Simplify right side
    57,461.50x = 2,675,109,994.06
  5. Step 5: Solve for x
    x = 2,675,109,994.06/57,461.50
  6. Step 6: Final answer
    x = 46,554.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.