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Finding the Fourth Proportional to 54,728.88, 75,526.74 and 30,856.74

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Solution

The fourth proportional to 54,728.88, 75,526.74 and 30,856.74 is: 42,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,728.88 : 75,526.74 = 30,856.74 : x
  2. Step 2: Convert to fraction form
    54,728.88/75,526.74 = 30,856.74/x
  3. Step 3: Cross multiply
    54,728.88x = 75,526.74 × 30,856.74
  4. Step 4: Simplify right side
    54,728.88x = 2,330,508,979.23
  5. Step 5: Solve for x
    x = 2,330,508,979.23/54,728.88
  6. Step 6: Final answer
    x = 42,582.80

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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.