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Finding the Fourth Proportional to 64,718.46, 96,948.46 and 51,413.98

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Solution

The fourth proportional to 64,718.46, 96,948.46 and 51,413.98 is: 77,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718.46 : 96,948.46 = 51,413.98 : x
  2. Step 2: Convert to fraction form
    64,718.46/96,948.46 = 51,413.98/x
  3. Step 3: Cross multiply
    64,718.46x = 96,948.46 × 51,413.98
  4. Step 4: Simplify right side
    64,718.46x = 4,984,505,833.91
  5. Step 5: Solve for x
    x = 4,984,505,833.91/64,718.46
  6. Step 6: Final answer
    x = 77,018.31

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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.