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Finding the Fourth Proportional to 70,658.82, 97,507.14 and 38,827.68

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Solution

The fourth proportional to 70,658.82, 97,507.14 and 38,827.68 is: 53,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658.82 : 97,507.14 = 38,827.68 : x
  2. Step 2: Convert to fraction form
    70,658.82/97,507.14 = 38,827.68/x
  3. Step 3: Cross multiply
    70,658.82x = 97,507.14 × 38,827.68
  4. Step 4: Simplify right side
    70,658.82x = 3,785,976,029.64
  5. Step 5: Solve for x
    x = 3,785,976,029.64/70,658.82
  6. Step 6: Final answer
    x = 53,581.08

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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.