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Finding the Fourth Proportional to 29,528, 44,295.04 and 9,812.48

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Solution

The fourth proportional to 29,528, 44,295.04 and 9,812.48 is: 14,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,528 : 44,295.04 = 9,812.48 : x
  2. Step 2: Convert to fraction form
    29,528/44,295.04 = 9,812.48/x
  3. Step 3: Cross multiply
    29,528x = 44,295.04 × 9,812.48
  4. Step 4: Simplify right side
    29,528x = 434,644,194.10
  5. Step 5: Solve for x
    x = 434,644,194.10/29,528
  6. Step 6: Final answer
    x = 14,719.73

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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.