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Finding the Fourth Proportional to 42,114.96, 58,094.28 and 27,210.96

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Solution

The fourth proportional to 42,114.96, 58,094.28 and 27,210.96 is: 37,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,114.96 : 58,094.28 = 27,210.96 : x
  2. Step 2: Convert to fraction form
    42,114.96/58,094.28 = 27,210.96/x
  3. Step 3: Cross multiply
    42,114.96x = 58,094.28 × 27,210.96
  4. Step 4: Simplify right side
    42,114.96x = 1,580,801,129.31
  5. Step 5: Solve for x
    x = 1,580,801,129.31/42,114.96
  6. Step 6: Final answer
    x = 37,535.38

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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.