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Finding the Fourth Proportional to 64,449.16, 96,533.80 and 39,413.30

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Solution

The fourth proportional to 64,449.16, 96,533.80 and 39,413.30 is: 59,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,449.16 : 96,533.80 = 39,413.30 : x
  2. Step 2: Convert to fraction form
    64,449.16/96,533.80 = 39,413.30/x
  3. Step 3: Cross multiply
    64,449.16x = 96,533.80 × 39,413.30
  4. Step 4: Simplify right side
    64,449.16x = 3,804,715,895.82
  5. Step 5: Solve for x
    x = 3,804,715,895.82/64,449.16
  6. Step 6: Final answer
    x = 59,034.38

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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.