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Finding the Fourth Proportional to 73,988.16, 102,101.76 and 40,452

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Solution

The fourth proportional to 73,988.16, 102,101.76 and 40,452 is: 55,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,988.16 : 102,101.76 = 40,452 : x
  2. Step 2: Convert to fraction form
    73,988.16/102,101.76 = 40,452/x
  3. Step 3: Cross multiply
    73,988.16x = 102,101.76 × 40,452
  4. Step 4: Simplify right side
    73,988.16x = 4,130,220,395.52
  5. Step 5: Solve for x
    x = 4,130,220,395.52/73,988.16
  6. Step 6: Final answer
    x = 55,822.72

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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.