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Finding the Fourth Proportional to 70,575.24, 97,393.80 and 38,746.16

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Solution

The fourth proportional to 70,575.24, 97,393.80 and 38,746.16 is: 53,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,575.24 : 97,393.80 = 38,746.16 : x
  2. Step 2: Convert to fraction form
    70,575.24/97,393.80 = 38,746.16/x
  3. Step 3: Cross multiply
    70,575.24x = 97,393.80 × 38,746.16
  4. Step 4: Simplify right side
    70,575.24x = 3,773,635,757.81
  5. Step 5: Solve for x
    x = 3,773,635,757.81/70,575.24
  6. Step 6: Final answer
    x = 53,469.68

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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.