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Finding the Fourth Proportional to 75,658, 104,408.76 and 42,124.72

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Solution

The fourth proportional to 75,658, 104,408.76 and 42,124.72 is: 58,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658 : 104,408.76 = 42,124.72 : x
  2. Step 2: Convert to fraction form
    75,658/104,408.76 = 42,124.72/x
  3. Step 3: Cross multiply
    75,658x = 104,408.76 × 42,124.72
  4. Step 4: Simplify right side
    75,658x = 4,398,189,780.55
  5. Step 5: Solve for x
    x = 4,398,189,780.55/75,658
  6. Step 6: Final answer
    x = 58,132.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.