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Finding the Fourth Proportional to 84,653.52, 116,820.12 and 46,413.14

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Solution

The fourth proportional to 84,653.52, 116,820.12 and 46,413.14 is: 64,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,653.52 : 116,820.12 = 46,413.14 : x
  2. Step 2: Convert to fraction form
    84,653.52/116,820.12 = 46,413.14/x
  3. Step 3: Cross multiply
    84,653.52x = 116,820.12 × 46,413.14
  4. Step 4: Simplify right side
    84,653.52x = 5,421,988,584.38
  5. Step 5: Solve for x
    x = 5,421,988,584.38/84,653.52
  6. Step 6: Final answer
    x = 64,049.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.