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Finding the Fourth Proportional to 29,502.74, 44,244.54 and 9,776

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Solution

The fourth proportional to 29,502.74, 44,244.54 and 9,776 is: 14,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.74 : 44,244.54 = 9,776 : x
  2. Step 2: Convert to fraction form
    29,502.74/44,244.54 = 9,776/x
  3. Step 3: Cross multiply
    29,502.74x = 44,244.54 × 9,776
  4. Step 4: Simplify right side
    29,502.74x = 432,534,623.04
  5. Step 5: Solve for x
    x = 432,534,623.04/29,502.74
  6. Step 6: Final answer
    x = 14,660.83

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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.