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Finding the Fourth Proportional to 67,538.40, 101,681.60 and 59,686

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Solution

The fourth proportional to 67,538.40, 101,681.60 and 59,686 is: 89,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,538.40 : 101,681.60 = 59,686 : x
  2. Step 2: Convert to fraction form
    67,538.40/101,681.60 = 59,686/x
  3. Step 3: Cross multiply
    67,538.40x = 101,681.60 × 59,686
  4. Step 4: Simplify right side
    67,538.40x = 6,068,967,977.60
  5. Step 5: Solve for x
    x = 6,068,967,977.60/67,538.40
  6. Step 6: Final answer
    x = 89,859.52

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.