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Finding the Fourth Proportional to 72,769.95, 109,159.59 and 22,852.08

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Solution

The fourth proportional to 72,769.95, 109,159.59 and 22,852.08 is: 34,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,769.95 : 109,159.59 = 22,852.08 : x
  2. Step 2: Convert to fraction form
    72,769.95/109,159.59 = 22,852.08/x
  3. Step 3: Cross multiply
    72,769.95x = 109,159.59 × 22,852.08
  4. Step 4: Simplify right side
    72,769.95x = 2,494,523,683.45
  5. Step 5: Solve for x
    x = 2,494,523,683.45/72,769.95
  6. Step 6: Final answer
    x = 34,279.58

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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.