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Finding the Fourth Proportional to 52,354, 72,247.96 and 31,132.80

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Solution

The fourth proportional to 52,354, 72,247.96 and 31,132.80 is: 42,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354 : 72,247.96 = 31,132.80 : x
  2. Step 2: Convert to fraction form
    52,354/72,247.96 = 31,132.80/x
  3. Step 3: Cross multiply
    52,354x = 72,247.96 × 31,132.80
  4. Step 4: Simplify right side
    52,354x = 2,249,281,289.09
  5. Step 5: Solve for x
    x = 2,249,281,289.09/52,354
  6. Step 6: Final answer
    x = 42,962.93

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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.