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Finding the Fourth Proportional to 75,030.60, 112,546.18 and 30,657.46

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Solution

The fourth proportional to 75,030.60, 112,546.18 and 30,657.46 is: 45,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030.60 : 112,546.18 = 30,657.46 : x
  2. Step 2: Convert to fraction form
    75,030.60/112,546.18 = 30,657.46/x
  3. Step 3: Cross multiply
    75,030.60x = 112,546.18 × 30,657.46
  4. Step 4: Simplify right side
    75,030.60x = 3,450,380,011.50
  5. Step 5: Solve for x
    x = 3,450,380,011.50/75,030.60
  6. Step 6: Final answer
    x = 45,986.30

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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.