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Finding the Fourth Proportional to 54,894.04, 75,745.60 and 31,020.52

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Solution

The fourth proportional to 54,894.04, 75,745.60 and 31,020.52 is: 42,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.04 : 75,745.60 = 31,020.52 : x
  2. Step 2: Convert to fraction form
    54,894.04/75,745.60 = 31,020.52/x
  3. Step 3: Cross multiply
    54,894.04x = 75,745.60 × 31,020.52
  4. Step 4: Simplify right side
    54,894.04x = 2,349,667,899.71
  5. Step 5: Solve for x
    x = 2,349,667,899.71/54,894.04
  6. Step 6: Final answer
    x = 42,803.70

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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.