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Finding the Fourth Proportional to 75,038.65, 103,549.47 and 41,040.52

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Solution

The fourth proportional to 75,038.65, 103,549.47 and 41,040.52 is: 56,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038.65 : 103,549.47 = 41,040.52 : x
  2. Step 2: Convert to fraction form
    75,038.65/103,549.47 = 41,040.52/x
  3. Step 3: Cross multiply
    75,038.65x = 103,549.47 × 41,040.52
  4. Step 4: Simplify right side
    75,038.65x = 4,249,723,576.78
  5. Step 5: Solve for x
    x = 4,249,723,576.78/75,038.65
  6. Step 6: Final answer
    x = 56,633.80

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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.