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Finding the Fourth Proportional to 75,656.64, 104,374.82 and 45,023.60

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Solution

The fourth proportional to 75,656.64, 104,374.82 and 45,023.60 is: 62,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656.64 : 104,374.82 = 45,023.60 : x
  2. Step 2: Convert to fraction form
    75,656.64/104,374.82 = 45,023.60/x
  3. Step 3: Cross multiply
    75,656.64x = 104,374.82 × 45,023.60
  4. Step 4: Simplify right side
    75,656.64x = 4,699,330,145.75
  5. Step 5: Solve for x
    x = 4,699,330,145.75/75,656.64
  6. Step 6: Final answer
    x = 62,113.92

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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.