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Finding the Fourth Proportional to 70,948.64, 106,438.62 and 21,032.72

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Solution

The fourth proportional to 70,948.64, 106,438.62 and 21,032.72 is: 31,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.64 : 106,438.62 = 21,032.72 : x
  2. Step 2: Convert to fraction form
    70,948.64/106,438.62 = 21,032.72/x
  3. Step 3: Cross multiply
    70,948.64x = 106,438.62 × 21,032.72
  4. Step 4: Simplify right side
    70,948.64x = 2,238,693,691.65
  5. Step 5: Solve for x
    x = 2,238,693,691.65/70,948.64
  6. Step 6: Final answer
    x = 31,553.72

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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.