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Finding the Fourth Proportional to 76,255.59, 105,232.52 and 42,264.15

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Solution

The fourth proportional to 76,255.59, 105,232.52 and 42,264.15 is: 58,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,255.59 : 105,232.52 = 42,264.15 : x
  2. Step 2: Convert to fraction form
    76,255.59/105,232.52 = 42,264.15/x
  3. Step 3: Cross multiply
    76,255.59x = 105,232.52 × 42,264.15
  4. Step 4: Simplify right side
    76,255.59x = 4,447,562,483.46
  5. Step 5: Solve for x
    x = 4,447,562,483.46/76,255.59
  6. Step 6: Final answer
    x = 58,324.41

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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.