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Finding the Fourth Proportional to 59,742.42, 89,615.73 and 20,294.40

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Solution

The fourth proportional to 59,742.42, 89,615.73 and 20,294.40 is: 30,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,742.42 : 89,615.73 = 20,294.40 : x
  2. Step 2: Convert to fraction form
    59,742.42/89,615.73 = 20,294.40/x
  3. Step 3: Cross multiply
    59,742.42x = 89,615.73 × 20,294.40
  4. Step 4: Simplify right side
    59,742.42x = 1,818,697,470.91
  5. Step 5: Solve for x
    x = 1,818,697,470.91/59,742.42
  6. Step 6: Final answer
    x = 30,442.31

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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.