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Finding the Fourth Proportional to 31,458.80, 47,204.69 and 12,740.82

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Solution

The fourth proportional to 31,458.80, 47,204.69 and 12,740.82 is: 19,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.80 : 47,204.69 = 12,740.82 : x
  2. Step 2: Convert to fraction form
    31,458.80/47,204.69 = 12,740.82/x
  3. Step 3: Cross multiply
    31,458.80x = 47,204.69 × 12,740.82
  4. Step 4: Simplify right side
    31,458.80x = 601,426,394.74
  5. Step 5: Solve for x
    x = 601,426,394.74/31,458.80
  6. Step 6: Final answer
    x = 19,117.91

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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.