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Finding the Fourth Proportional to 72,774.88, 100,428.92 and 40,944

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Solution

The fourth proportional to 72,774.88, 100,428.92 and 40,944 is: 56,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774.88 : 100,428.92 = 40,944 : x
  2. Step 2: Convert to fraction form
    72,774.88/100,428.92 = 40,944/x
  3. Step 3: Cross multiply
    72,774.88x = 100,428.92 × 40,944
  4. Step 4: Simplify right side
    72,774.88x = 4,111,961,700.48
  5. Step 5: Solve for x
    x = 4,111,961,700.48/72,774.88
  6. Step 6: Final answer
    x = 56,502.49

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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.