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Finding the Fourth Proportional to 31,527.53, 47,294.03 and 9,038.31

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Solution

The fourth proportional to 31,527.53, 47,294.03 and 9,038.31 is: 13,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.53 : 47,294.03 = 9,038.31 : x
  2. Step 2: Convert to fraction form
    31,527.53/47,294.03 = 9,038.31/x
  3. Step 3: Cross multiply
    31,527.53x = 47,294.03 × 9,038.31
  4. Step 4: Simplify right side
    31,527.53x = 427,458,031.71
  5. Step 5: Solve for x
    x = 427,458,031.71/31,527.53
  6. Step 6: Final answer
    x = 13,558.25

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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.