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Finding the Fourth Proportional to 29,036.32, 43,545.84 and 10,564

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Solution

The fourth proportional to 29,036.32, 43,545.84 and 10,564 is: 15,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,036.32 : 43,545.84 = 10,564 : x
  2. Step 2: Convert to fraction form
    29,036.32/43,545.84 = 10,564/x
  3. Step 3: Cross multiply
    29,036.32x = 43,545.84 × 10,564
  4. Step 4: Simplify right side
    29,036.32x = 460,018,253.76
  5. Step 5: Solve for x
    x = 460,018,253.76/29,036.32
  6. Step 6: Final answer
    x = 15,842.86

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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.