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Finding the Fourth Proportional to 72,281.16, 108,400.93 and 24,894.34

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Solution

The fourth proportional to 72,281.16, 108,400.93 and 24,894.34 is: 37,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,281.16 : 108,400.93 = 24,894.34 : x
  2. Step 2: Convert to fraction form
    72,281.16/108,400.93 = 24,894.34/x
  3. Step 3: Cross multiply
    72,281.16x = 108,400.93 × 24,894.34
  4. Step 4: Simplify right side
    72,281.16x = 2,698,569,414.53
  5. Step 5: Solve for x
    x = 2,698,569,414.53/72,281.16
  6. Step 6: Final answer
    x = 37,334.34

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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.