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Finding the Fourth Proportional to 70,114.16, 96,753.03 and 38,283.03

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Solution

The fourth proportional to 70,114.16, 96,753.03 and 38,283.03 is: 52,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114.16 : 96,753.03 = 38,283.03 : x
  2. Step 2: Convert to fraction form
    70,114.16/96,753.03 = 38,283.03/x
  3. Step 3: Cross multiply
    70,114.16x = 96,753.03 × 38,283.03
  4. Step 4: Simplify right side
    70,114.16x = 3,703,999,221.86
  5. Step 5: Solve for x
    x = 3,703,999,221.86/70,114.16
  6. Step 6: Final answer
    x = 52,828.12

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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.