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Finding the Fourth Proportional to 70,083.50, 96,715.19 and 38,252.40

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Solution

The fourth proportional to 70,083.50, 96,715.19 and 38,252.40 is: 52,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083.50 : 96,715.19 = 38,252.40 : x
  2. Step 2: Convert to fraction form
    70,083.50/96,715.19 = 38,252.40/x
  3. Step 3: Cross multiply
    70,083.50x = 96,715.19 × 38,252.40
  4. Step 4: Simplify right side
    70,083.50x = 3,699,588,303.34
  5. Step 5: Solve for x
    x = 3,699,588,303.34/70,083.50
  6. Step 6: Final answer
    x = 52,788.29

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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.