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Finding the Fourth Proportional to 72,830.88, 109,247.04 and 22,909.86

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Solution

The fourth proportional to 72,830.88, 109,247.04 and 22,909.86 is: 34,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,830.88 : 109,247.04 = 22,909.86 : x
  2. Step 2: Convert to fraction form
    72,830.88/109,247.04 = 22,909.86/x
  3. Step 3: Cross multiply
    72,830.88x = 109,247.04 × 22,909.86
  4. Step 4: Simplify right side
    72,830.88x = 2,502,834,391.81
  5. Step 5: Solve for x
    x = 2,502,834,391.81/72,830.88
  6. Step 6: Final answer
    x = 34,365.02

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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.