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Finding the Fourth Proportional to 19,493.70, 29,240.29 and 4,702.50

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Solution

The fourth proportional to 19,493.70, 29,240.29 and 4,702.50 is: 7,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.70 : 29,240.29 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    19,493.70/29,240.29 = 4,702.50/x
  3. Step 3: Cross multiply
    19,493.70x = 29,240.29 × 4,702.50
  4. Step 4: Simplify right side
    19,493.70x = 137,502,463.73
  5. Step 5: Solve for x
    x = 137,502,463.73/19,493.70
  6. Step 6: Final answer
    x = 7,053.69

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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.