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Finding the Fourth Proportional to 74,095.92, 102,251.16 and 42,264.72

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Solution

The fourth proportional to 74,095.92, 102,251.16 and 42,264.72 is: 58,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,095.92 : 102,251.16 = 42,264.72 : x
  2. Step 2: Convert to fraction form
    74,095.92/102,251.16 = 42,264.72/x
  3. Step 3: Cross multiply
    74,095.92x = 102,251.16 × 42,264.72
  4. Step 4: Simplify right side
    74,095.92x = 4,321,616,647.08
  5. Step 5: Solve for x
    x = 4,321,616,647.08/74,095.92
  6. Step 6: Final answer
    x = 58,324.62

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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.