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Finding the Fourth Proportional to 70,113.16, 96,757.80 and 38,282.30

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Solution

The fourth proportional to 70,113.16, 96,757.80 and 38,282.30 is: 52,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,113.16 : 96,757.80 = 38,282.30 : x
  2. Step 2: Convert to fraction form
    70,113.16/96,757.80 = 38,282.30/x
  3. Step 3: Cross multiply
    70,113.16x = 96,757.80 × 38,282.30
  4. Step 4: Simplify right side
    70,113.16x = 3,704,111,126.94
  5. Step 5: Solve for x
    x = 3,704,111,126.94/70,113.16
  6. Step 6: Final answer
    x = 52,830.47

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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.