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Finding the Fourth Proportional to 82,527.50, 113,913.88 and 52,719.50

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Solution

The fourth proportional to 82,527.50, 113,913.88 and 52,719.50 is: 72,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527.50 : 113,913.88 = 52,719.50 : x
  2. Step 2: Convert to fraction form
    82,527.50/113,913.88 = 52,719.50/x
  3. Step 3: Cross multiply
    82,527.50x = 113,913.88 × 52,719.50
  4. Step 4: Simplify right side
    82,527.50x = 6,005,482,796.66
  5. Step 5: Solve for x
    x = 6,005,482,796.66/82,527.50
  6. Step 6: Final answer
    x = 72,769.47

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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.