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Finding the Fourth Proportional to 77,197.76, 106,532.90 and 41,869.76

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Solution

The fourth proportional to 77,197.76, 106,532.90 and 41,869.76 is: 57,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.76 : 106,532.90 = 41,869.76 : x
  2. Step 2: Convert to fraction form
    77,197.76/106,532.90 = 41,869.76/x
  3. Step 3: Cross multiply
    77,197.76x = 106,532.90 × 41,869.76
  4. Step 4: Simplify right side
    77,197.76x = 4,460,506,955.10
  5. Step 5: Solve for x
    x = 4,460,506,955.10/77,197.76
  6. Step 6: Final answer
    x = 57,780.26

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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.