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Finding the Fourth Proportional to 74,602.98, 102,949.52 and 40,610.86

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Solution

The fourth proportional to 74,602.98, 102,949.52 and 40,610.86 is: 56,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602.98 : 102,949.52 = 40,610.86 : x
  2. Step 2: Convert to fraction form
    74,602.98/102,949.52 = 40,610.86/x
  3. Step 3: Cross multiply
    74,602.98x = 102,949.52 × 40,610.86
  4. Step 4: Simplify right side
    74,602.98x = 4,180,868,543.79
  5. Step 5: Solve for x
    x = 4,180,868,543.79/74,602.98
  6. Step 6: Final answer
    x = 56,041.58

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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.