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Finding the Fourth Proportional to 40,509.76, 55,904.64 and 22,604.38

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Solution

The fourth proportional to 40,509.76, 55,904.64 and 22,604.38 is: 31,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,509.76 : 55,904.64 = 22,604.38 : x
  2. Step 2: Convert to fraction form
    40,509.76/55,904.64 = 22,604.38/x
  3. Step 3: Cross multiply
    40,509.76x = 55,904.64 × 22,604.38
  4. Step 4: Simplify right side
    40,509.76x = 1,263,689,726.32
  5. Step 5: Solve for x
    x = 1,263,689,726.32/40,509.76
  6. Step 6: Final answer
    x = 31,194.70

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1.5x scale

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.