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Finding the Fourth Proportional to 31,348.88, 47,024.03 and 7,656.62

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Solution

The fourth proportional to 31,348.88, 47,024.03 and 7,656.62 is: 11,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348.88 : 47,024.03 = 7,656.62 : x
  2. Step 2: Convert to fraction form
    31,348.88/47,024.03 = 7,656.62/x
  3. Step 3: Cross multiply
    31,348.88x = 47,024.03 × 7,656.62
  4. Step 4: Simplify right side
    31,348.88x = 360,045,061.01
  5. Step 5: Solve for x
    x = 360,045,061.01/31,348.88
  6. Step 6: Final answer
    x = 11,485.10

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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.