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Finding the Fourth Proportional to 42,301.44, 63,413.28 and 14,580

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Solution

The fourth proportional to 42,301.44, 63,413.28 and 14,580 is: 21,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,301.44 : 63,413.28 = 14,580 : x
  2. Step 2: Convert to fraction form
    42,301.44/63,413.28 = 14,580/x
  3. Step 3: Cross multiply
    42,301.44x = 63,413.28 × 14,580
  4. Step 4: Simplify right side
    42,301.44x = 924,565,622.40
  5. Step 5: Solve for x
    x = 924,565,622.40/42,301.44
  6. Step 6: Final answer
    x = 21,856.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.