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Finding the Fourth Proportional to 52,045.76, 71,823.16 and 29,689.76

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Solution

The fourth proportional to 52,045.76, 71,823.16 and 29,689.76 is: 40,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.76 : 71,823.16 = 29,689.76 : x
  2. Step 2: Convert to fraction form
    52,045.76/71,823.16 = 29,689.76/x
  3. Step 3: Cross multiply
    52,045.76x = 71,823.16 × 29,689.76
  4. Step 4: Simplify right side
    52,045.76x = 2,132,412,382.84
  5. Step 5: Solve for x
    x = 2,132,412,382.84/52,045.76
  6. Step 6: Final answer
    x = 40,971.88

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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.