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Finding the Fourth Proportional to 51,629.90, 77,329.65 and 42,413.90

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Solution

The fourth proportional to 51,629.90, 77,329.65 and 42,413.90 is: 63,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,629.90 : 77,329.65 = 42,413.90 : x
  2. Step 2: Convert to fraction form
    51,629.90/77,329.65 = 42,413.90/x
  3. Step 3: Cross multiply
    51,629.90x = 77,329.65 × 42,413.90
  4. Step 4: Simplify right side
    51,629.90x = 3,279,852,042.14
  5. Step 5: Solve for x
    x = 3,279,852,042.14/51,629.90
  6. Step 6: Final answer
    x = 63,526.21

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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.