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Finding the Fourth Proportional to 59,314, 81,867.90 and 34,178.08

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Solution

The fourth proportional to 59,314, 81,867.90 and 34,178.08 is: 47,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,314 : 81,867.90 = 34,178.08 : x
  2. Step 2: Convert to fraction form
    59,314/81,867.90 = 34,178.08/x
  3. Step 3: Cross multiply
    59,314x = 81,867.90 × 34,178.08
  4. Step 4: Simplify right side
    59,314x = 2,798,087,635.63
  5. Step 5: Solve for x
    x = 2,798,087,635.63/59,314
  6. Step 6: Final answer
    x = 47,174.15

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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.