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Finding the Fourth Proportional to 59,527.84, 89,296.08 and 17,978.08

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Solution

The fourth proportional to 59,527.84, 89,296.08 and 17,978.08 is: 26,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,527.84 : 89,296.08 = 17,978.08 : x
  2. Step 2: Convert to fraction form
    59,527.84/89,296.08 = 17,978.08/x
  3. Step 3: Cross multiply
    59,527.84x = 89,296.08 × 17,978.08
  4. Step 4: Simplify right side
    59,527.84x = 1,605,372,069.93
  5. Step 5: Solve for x
    x = 1,605,372,069.93/59,527.84
  6. Step 6: Final answer
    x = 26,968.42

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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.