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Finding the Fourth Proportional to 75,005.60, 112,541.16 and 32,894.78

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Solution

The fourth proportional to 75,005.60, 112,541.16 and 32,894.78 is: 49,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005.60 : 112,541.16 = 32,894.78 : x
  2. Step 2: Convert to fraction form
    75,005.60/112,541.16 = 32,894.78/x
  3. Step 3: Cross multiply
    75,005.60x = 112,541.16 × 32,894.78
  4. Step 4: Simplify right side
    75,005.60x = 3,702,016,699.14
  5. Step 5: Solve for x
    x = 3,702,016,699.14/75,005.60
  6. Step 6: Final answer
    x = 49,356.54

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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.