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Finding the Fourth Proportional to 29,693.32, 44,528.77 and 9,698.13

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Solution

The fourth proportional to 29,693.32, 44,528.77 and 9,698.13 is: 14,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.32 : 44,528.77 = 9,698.13 : x
  2. Step 2: Convert to fraction form
    29,693.32/44,528.77 = 9,698.13/x
  3. Step 3: Cross multiply
    29,693.32x = 44,528.77 × 9,698.13
  4. Step 4: Simplify right side
    29,693.32x = 431,845,812.32
  5. Step 5: Solve for x
    x = 431,845,812.32/29,693.32
  6. Step 6: Final answer
    x = 14,543.54

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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.