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Finding the Fourth Proportional to 75,152.60, 103,699.74 and 41,618.52

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Solution

The fourth proportional to 75,152.60, 103,699.74 and 41,618.52 is: 57,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152.60 : 103,699.74 = 41,618.52 : x
  2. Step 2: Convert to fraction form
    75,152.60/103,699.74 = 41,618.52/x
  3. Step 3: Cross multiply
    75,152.60x = 103,699.74 × 41,618.52
  4. Step 4: Simplify right side
    75,152.60x = 4,315,829,703.18
  5. Step 5: Solve for x
    x = 4,315,829,703.18/75,152.60
  6. Step 6: Final answer
    x = 57,427.55

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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.