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Finding the Fourth Proportional to 64,935.69, 97,413.54 and 27,496

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Solution

The fourth proportional to 64,935.69, 97,413.54 and 27,496 is: 41,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935.69 : 97,413.54 = 27,496 : x
  2. Step 2: Convert to fraction form
    64,935.69/97,413.54 = 27,496/x
  3. Step 3: Cross multiply
    64,935.69x = 97,413.54 × 27,496
  4. Step 4: Simplify right side
    64,935.69x = 2,678,482,695.84
  5. Step 5: Solve for x
    x = 2,678,482,695.84/64,935.69
  6. Step 6: Final answer
    x = 41,248.24

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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.