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Finding the Fourth Proportional to 46,881.38, 70,294.34 and 18,384.50

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Solution

The fourth proportional to 46,881.38, 70,294.34 and 18,384.50 is: 27,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,881.38 : 70,294.34 = 18,384.50 : x
  2. Step 2: Convert to fraction form
    46,881.38/70,294.34 = 18,384.50/x
  3. Step 3: Cross multiply
    46,881.38x = 70,294.34 × 18,384.50
  4. Step 4: Simplify right side
    46,881.38x = 1,292,326,293.73
  5. Step 5: Solve for x
    x = 1,292,326,293.73/46,881.38
  6. Step 6: Final answer
    x = 27,565.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.