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Finding the Fourth Proportional to 74,860.16, 103,308.90 and 42,593

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Solution

The fourth proportional to 74,860.16, 103,308.90 and 42,593 is: 58,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,860.16 : 103,308.90 = 42,593 : x
  2. Step 2: Convert to fraction form
    74,860.16/103,308.90 = 42,593/x
  3. Step 3: Cross multiply
    74,860.16x = 103,308.90 × 42,593
  4. Step 4: Simplify right side
    74,860.16x = 4,400,235,977.70
  5. Step 5: Solve for x
    x = 4,400,235,977.70/74,860.16
  6. Step 6: Final answer
    x = 58,779.41

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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.