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Finding the Fourth Proportional to 31,567.39, 47,356.79 and 9,077.00

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Solution

The fourth proportional to 31,567.39, 47,356.79 and 9,077.00 is: 13,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.39 : 47,356.79 = 9,077.00 : x
  2. Step 2: Convert to fraction form
    31,567.39/47,356.79 = 9,077.00/x
  3. Step 3: Cross multiply
    31,567.39x = 47,356.79 × 9,077.00
  4. Step 4: Simplify right side
    31,567.39x = 429,857,300.66
  5. Step 5: Solve for x
    x = 429,857,300.66/31,567.39
  6. Step 6: Final answer
    x = 13,617.13

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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.