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Finding the Fourth Proportional to 64,096.98, 96,164.88 and 45,413.16

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Solution

The fourth proportional to 64,096.98, 96,164.88 and 45,413.16 is: 68,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,096.98 : 96,164.88 = 45,413.16 : x
  2. Step 2: Convert to fraction form
    64,096.98/96,164.88 = 45,413.16/x
  3. Step 3: Cross multiply
    64,096.98x = 96,164.88 × 45,413.16
  4. Step 4: Simplify right side
    64,096.98x = 4,367,151,081.82
  5. Step 5: Solve for x
    x = 4,367,151,081.82/64,096.98
  6. Step 6: Final answer
    x = 68,133.49

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1.5x scale

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.