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Finding the Fourth Proportional to 75,873.40, 113,810.10 and 61,111.15

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Solution

The fourth proportional to 75,873.40, 113,810.10 and 61,111.15 is: 91,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873.40 : 113,810.10 = 61,111.15 : x
  2. Step 2: Convert to fraction form
    75,873.40/113,810.10 = 61,111.15/x
  3. Step 3: Cross multiply
    75,873.40x = 113,810.10 × 61,111.15
  4. Step 4: Simplify right side
    75,873.40x = 6,955,066,092.62
  5. Step 5: Solve for x
    x = 6,955,066,092.62/75,873.40
  6. Step 6: Final answer
    x = 91,666.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.