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Finding the Fourth Proportional to 105,124.92, 157,708.13 and 38,565.60

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Solution

The fourth proportional to 105,124.92, 157,708.13 and 38,565.60 is: 57,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,124.92 : 157,708.13 = 38,565.60 : x
  2. Step 2: Convert to fraction form
    105,124.92/157,708.13 = 38,565.60/x
  3. Step 3: Cross multiply
    105,124.92x = 157,708.13 × 38,565.60
  4. Step 4: Simplify right side
    105,124.92x = 6,082,108,465.50
  5. Step 5: Solve for x
    x = 6,082,108,465.50/105,124.92
  6. Step 6: Final answer
    x = 57,856.01

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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.