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Finding the Fourth Proportional to 70,038.50, 96,653.13 and 38,207.53

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Solution

The fourth proportional to 70,038.50, 96,653.13 and 38,207.53 is: 52,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038.50 : 96,653.13 = 38,207.53 : x
  2. Step 2: Convert to fraction form
    70,038.50/96,653.13 = 38,207.53/x
  3. Step 3: Cross multiply
    70,038.50x = 96,653.13 × 38,207.53
  4. Step 4: Simplify right side
    70,038.50x = 3,692,876,880.80
  5. Step 5: Solve for x
    x = 3,692,876,880.80/70,038.50
  6. Step 6: Final answer
    x = 52,726.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.