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Finding the Fourth Proportional to 40,565, 55,979.70 and 22,901

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Solution

The fourth proportional to 40,565, 55,979.70 and 22,901 is: 31,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,565 : 55,979.70 = 22,901 : x
  2. Step 2: Convert to fraction form
    40,565/55,979.70 = 22,901/x
  3. Step 3: Cross multiply
    40,565x = 55,979.70 × 22,901
  4. Step 4: Simplify right side
    40,565x = 1,281,991,109.70
  5. Step 5: Solve for x
    x = 1,281,991,109.70/40,565
  6. Step 6: Final answer
    x = 31,603.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.