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Finding the Fourth Proportional to 55,690.32, 83,461.54 and 48,259.98

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Solution

The fourth proportional to 55,690.32, 83,461.54 and 48,259.98 is: 72,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,690.32 : 83,461.54 = 48,259.98 : x
  2. Step 2: Convert to fraction form
    55,690.32/83,461.54 = 48,259.98/x
  3. Step 3: Cross multiply
    55,690.32x = 83,461.54 × 48,259.98
  4. Step 4: Simplify right side
    55,690.32x = 4,027,852,251.17
  5. Step 5: Solve for x
    x = 4,027,852,251.17/55,690.32
  6. Step 6: Final answer
    x = 72,325.90

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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.