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Finding the Fourth Proportional to 55,966.14, 83,950.02 and 14,413.14

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Solution

The fourth proportional to 55,966.14, 83,950.02 and 14,413.14 is: 21,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.14 : 83,950.02 = 14,413.14 : x
  2. Step 2: Convert to fraction form
    55,966.14/83,950.02 = 14,413.14/x
  3. Step 3: Cross multiply
    55,966.14x = 83,950.02 × 14,413.14
  4. Step 4: Simplify right side
    55,966.14x = 1,209,983,391.26
  5. Step 5: Solve for x
    x = 1,209,983,391.26/55,966.14
  6. Step 6: Final answer
    x = 21,619.92

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Why These Related Problems?

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