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Finding the Fourth Proportional to 40,411.00, 55,768.91 and 22,506

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Solution

The fourth proportional to 40,411.00, 55,768.91 and 22,506 is: 31,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,411.00 : 55,768.91 = 22,506 : x
  2. Step 2: Convert to fraction form
    40,411.00/55,768.91 = 22,506/x
  3. Step 3: Cross multiply
    40,411.00x = 55,768.91 × 22,506
  4. Step 4: Simplify right side
    40,411.00x = 1,255,134,975.93
  5. Step 5: Solve for x
    x = 1,255,134,975.93/40,411.00
  6. Step 6: Final answer
    x = 31,059.24

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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.