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Finding the Fourth Proportional to 59,493.42, 89,214.75 and 31,395.78

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Solution

The fourth proportional to 59,493.42, 89,214.75 and 31,395.78 is: 47,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,493.42 : 89,214.75 = 31,395.78 : x
  2. Step 2: Convert to fraction form
    59,493.42/89,214.75 = 31,395.78/x
  3. Step 3: Cross multiply
    59,493.42x = 89,214.75 × 31,395.78
  4. Step 4: Simplify right side
    59,493.42x = 2,800,966,663.76
  5. Step 5: Solve for x
    x = 2,800,966,663.76/59,493.42
  6. Step 6: Final answer
    x = 47,080.28

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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.