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Finding the Fourth Proportional to 69,878.13, 96,431.93 and 38,047.16

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Solution

The fourth proportional to 69,878.13, 96,431.93 and 38,047.16 is: 52,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.13 : 96,431.93 = 38,047.16 : x
  2. Step 2: Convert to fraction form
    69,878.13/96,431.93 = 38,047.16/x
  3. Step 3: Cross multiply
    69,878.13x = 96,431.93 × 38,047.16
  4. Step 4: Simplify right side
    69,878.13x = 3,668,960,682.78
  5. Step 5: Solve for x
    x = 3,668,960,682.78/69,878.13
  6. Step 6: Final answer
    x = 52,505.14

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