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Finding the Fourth Proportional to 217,342.46, 325,978.72 and 59,534.02

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Solution

The fourth proportional to 217,342.46, 325,978.72 and 59,534.02 is: 89,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,342.46 : 325,978.72 = 59,534.02 : x
  2. Step 2: Convert to fraction form
    217,342.46/325,978.72 = 59,534.02/x
  3. Step 3: Cross multiply
    217,342.46x = 325,978.72 × 59,534.02
  4. Step 4: Simplify right side
    217,342.46x = 19,406,823,636.05
  5. Step 5: Solve for x
    x = 19,406,823,636.05/217,342.46
  6. Step 6: Final answer
    x = 89,291.45

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Why These Related Problems?

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