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Finding the Fourth Proportional to 45,561.40, 68,342.10 and 41,406.10

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Solution

The fourth proportional to 45,561.40, 68,342.10 and 41,406.10 is: 62,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,561.40 : 68,342.10 = 41,406.10 : x
  2. Step 2: Convert to fraction form
    45,561.40/68,342.10 = 41,406.10/x
  3. Step 3: Cross multiply
    45,561.40x = 68,342.10 × 41,406.10
  4. Step 4: Simplify right side
    45,561.40x = 2,829,779,826.81
  5. Step 5: Solve for x
    x = 2,829,779,826.81/45,561.40
  6. Step 6: Final answer
    x = 62,109.15

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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.