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Finding the Fourth Proportional to 54,416.76, 75,094.38 and 30,543

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Solution

The fourth proportional to 54,416.76, 75,094.38 and 30,543 is: 42,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,416.76 : 75,094.38 = 30,543 : x
  2. Step 2: Convert to fraction form
    54,416.76/75,094.38 = 30,543/x
  3. Step 3: Cross multiply
    54,416.76x = 75,094.38 × 30,543
  4. Step 4: Simplify right side
    54,416.76x = 2,293,607,648.34
  5. Step 5: Solve for x
    x = 2,293,607,648.34/54,416.76
  6. Step 6: Final answer
    x = 42,148.92

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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.