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Finding the Fourth Proportional to 29,731.32, 44,602.92 and 9,746.46

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Solution

The fourth proportional to 29,731.32, 44,602.92 and 9,746.46 is: 14,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.32 : 44,602.92 = 9,746.46 : x
  2. Step 2: Convert to fraction form
    29,731.32/44,602.92 = 9,746.46/x
  3. Step 3: Cross multiply
    29,731.32x = 44,602.92 × 9,746.46
  4. Step 4: Simplify right side
    29,731.32x = 434,720,575.66
  5. Step 5: Solve for x
    x = 434,720,575.66/29,731.32
  6. Step 6: Final answer
    x = 14,621.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.