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Finding the Fourth Proportional to 59,527.58, 82,148 and 32,670.16

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Solution

The fourth proportional to 59,527.58, 82,148 and 32,670.16 is: 45,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,527.58 : 82,148 = 32,670.16 : x
  2. Step 2: Convert to fraction form
    59,527.58/82,148 = 32,670.16/x
  3. Step 3: Cross multiply
    59,527.58x = 82,148 × 32,670.16
  4. Step 4: Simplify right side
    59,527.58x = 2,683,788,303.68
  5. Step 5: Solve for x
    x = 2,683,788,303.68/59,527.58
  6. Step 6: Final answer
    x = 45,084.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.