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Finding the Fourth Proportional to 78,294.46, 117,437.51 and 27,689.98

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Solution

The fourth proportional to 78,294.46, 117,437.51 and 27,689.98 is: 41,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.46 : 117,437.51 = 27,689.98 : x
  2. Step 2: Convert to fraction form
    78,294.46/117,437.51 = 27,689.98/x
  3. Step 3: Cross multiply
    78,294.46x = 117,437.51 × 27,689.98
  4. Step 4: Simplify right side
    78,294.46x = 3,251,842,164.70
  5. Step 5: Solve for x
    x = 3,251,842,164.70/78,294.46
  6. Step 6: Final answer
    x = 41,533.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.