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Finding the Fourth Proportional to 32,425.80, 48,632.70 and 9,047.40

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Solution

The fourth proportional to 32,425.80, 48,632.70 and 9,047.40 is: 13,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,425.80 : 48,632.70 = 9,047.40 : x
  2. Step 2: Convert to fraction form
    32,425.80/48,632.70 = 9,047.40/x
  3. Step 3: Cross multiply
    32,425.80x = 48,632.70 × 9,047.40
  4. Step 4: Simplify right side
    32,425.80x = 439,999,489.98
  5. Step 5: Solve for x
    x = 439,999,489.98/32,425.80
  6. Step 6: Final answer
    x = 13,569.43

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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.