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Finding the Fourth Proportional to 75,258, 103,862.52 and 41,730.48

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Solution

The fourth proportional to 75,258, 103,862.52 and 41,730.48 is: 57,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 103,862.52 = 41,730.48 : x
  2. Step 2: Convert to fraction form
    75,258/103,862.52 = 41,730.48/x
  3. Step 3: Cross multiply
    75,258x = 103,862.52 × 41,730.48
  4. Step 4: Simplify right side
    75,258x = 4,334,232,813.61
  5. Step 5: Solve for x
    x = 4,334,232,813.61/75,258
  6. Step 6: Final answer
    x = 57,591.66

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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.