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Finding the Fourth Proportional to 70,502.40, 105,758.40 and 22,467.20

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Solution

The fourth proportional to 70,502.40, 105,758.40 and 22,467.20 is: 33,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.40 : 105,758.40 = 22,467.20 : x
  2. Step 2: Convert to fraction form
    70,502.40/105,758.40 = 22,467.20/x
  3. Step 3: Cross multiply
    70,502.40x = 105,758.40 × 22,467.20
  4. Step 4: Simplify right side
    70,502.40x = 2,376,095,124.48
  5. Step 5: Solve for x
    x = 2,376,095,124.48/70,502.40
  6. Step 6: Final answer
    x = 33,702.33

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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.