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Finding the Fourth Proportional to 42,987.84, 64,496.88 and 13,413.12

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Solution

The fourth proportional to 42,987.84, 64,496.88 and 13,413.12 is: 20,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,987.84 : 64,496.88 = 13,413.12 : x
  2. Step 2: Convert to fraction form
    42,987.84/64,496.88 = 13,413.12/x
  3. Step 3: Cross multiply
    42,987.84x = 64,496.88 × 13,413.12
  4. Step 4: Simplify right side
    42,987.84x = 865,104,391.07
  5. Step 5: Solve for x
    x = 865,104,391.07/42,987.84
  6. Step 6: Final answer
    x = 20,124.40

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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.