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Finding the Fourth Proportional to 40,048.83, 55,263.16 and 22,140.95

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Solution

The fourth proportional to 40,048.83, 55,263.16 and 22,140.95 is: 30,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,048.83 : 55,263.16 = 22,140.95 : x
  2. Step 2: Convert to fraction form
    40,048.83/55,263.16 = 22,140.95/x
  3. Step 3: Cross multiply
    40,048.83x = 55,263.16 × 22,140.95
  4. Step 4: Simplify right side
    40,048.83x = 1,223,578,475.38
  5. Step 5: Solve for x
    x = 1,223,578,475.38/40,048.83
  6. Step 6: Final answer
    x = 30,552.17

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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.