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Finding the Fourth Proportional to 40,858.76, 56,390.38 and 22,953.76

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Solution

The fourth proportional to 40,858.76, 56,390.38 and 22,953.76 is: 31,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,858.76 : 56,390.38 = 22,953.76 : x
  2. Step 2: Convert to fraction form
    40,858.76/56,390.38 = 22,953.76/x
  3. Step 3: Cross multiply
    40,858.76x = 56,390.38 × 22,953.76
  4. Step 4: Simplify right side
    40,858.76x = 1,294,371,248.83
  5. Step 5: Solve for x
    x = 1,294,371,248.83/40,858.76
  6. Step 6: Final answer
    x = 31,679.16

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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.