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Finding the Fourth Proportional to 61,424.92, 92,041.39 and 42,741.46

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Solution

The fourth proportional to 61,424.92, 92,041.39 and 42,741.46 is: 64,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424.92 : 92,041.39 = 42,741.46 : x
  2. Step 2: Convert to fraction form
    61,424.92/92,041.39 = 42,741.46/x
  3. Step 3: Cross multiply
    61,424.92x = 92,041.39 × 42,741.46
  4. Step 4: Simplify right side
    61,424.92x = 3,933,983,389.03
  5. Step 5: Solve for x
    x = 3,933,983,389.03/61,424.92
  6. Step 6: Final answer
    x = 64,045.40

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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.