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Finding the Fourth Proportional to 54,225.38, 74,820.38 and 34,070.58

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Solution

The fourth proportional to 54,225.38, 74,820.38 and 34,070.58 is: 47,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,225.38 : 74,820.38 = 34,070.58 : x
  2. Step 2: Convert to fraction form
    54,225.38/74,820.38 = 34,070.58/x
  3. Step 3: Cross multiply
    54,225.38x = 74,820.38 × 34,070.58
  4. Step 4: Simplify right side
    54,225.38x = 2,549,173,572.07
  5. Step 5: Solve for x
    x = 2,549,173,572.07/54,225.38
  6. Step 6: Final answer
    x = 47,010.71

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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.