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Finding the Fourth Proportional to 75,862.58, 104,690.30 and 42,328.58

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Solution

The fourth proportional to 75,862.58, 104,690.30 and 42,328.58 is: 58,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,862.58 : 104,690.30 = 42,328.58 : x
  2. Step 2: Convert to fraction form
    75,862.58/104,690.30 = 42,328.58/x
  3. Step 3: Cross multiply
    75,862.58x = 104,690.30 × 42,328.58
  4. Step 4: Simplify right side
    75,862.58x = 4,431,391,527.13
  5. Step 5: Solve for x
    x = 4,431,391,527.13/75,862.58
  6. Step 6: Final answer
    x = 58,413.40

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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.