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Finding the Fourth Proportional to 65,102.52, 97,661.60 and 22,973.91

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Solution

The fourth proportional to 65,102.52, 97,661.60 and 22,973.91 is: 34,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.52 : 97,661.60 = 22,973.91 : x
  2. Step 2: Convert to fraction form
    65,102.52/97,661.60 = 22,973.91/x
  3. Step 3: Cross multiply
    65,102.52x = 97,661.60 × 22,973.91
  4. Step 4: Simplify right side
    65,102.52x = 2,243,668,413.91
  5. Step 5: Solve for x
    x = 2,243,668,413.91/65,102.52
  6. Step 6: Final answer
    x = 34,463.62

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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.