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Finding the Fourth Proportional to 29,587.74, 44,382 and 9,866.31

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Solution

The fourth proportional to 29,587.74, 44,382 and 9,866.31 is: 14,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,587.74 : 44,382 = 9,866.31 : x
  2. Step 2: Convert to fraction form
    29,587.74/44,382 = 9,866.31/x
  3. Step 3: Cross multiply
    29,587.74x = 44,382 × 9,866.31
  4. Step 4: Simplify right side
    29,587.74x = 437,886,570.42
  5. Step 5: Solve for x
    x = 437,886,570.42/29,587.74
  6. Step 6: Final answer
    x = 14,799.60

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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.