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Finding the Fourth Proportional to 31,808.72, 47,661.12 and 19,332.56

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Solution

The fourth proportional to 31,808.72, 47,661.12 and 19,332.56 is: 28,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.72 : 47,661.12 = 19,332.56 : x
  2. Step 2: Convert to fraction form
    31,808.72/47,661.12 = 19,332.56/x
  3. Step 3: Cross multiply
    31,808.72x = 47,661.12 × 19,332.56
  4. Step 4: Simplify right side
    31,808.72x = 921,411,462.07
  5. Step 5: Solve for x
    x = 921,411,462.07/31,808.72
  6. Step 6: Final answer
    x = 28,967.26

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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.