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Finding the Fourth Proportional to 110,152.40, 165,135.72 and 47,775.92

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Solution

The fourth proportional to 110,152.40, 165,135.72 and 47,775.92 is: 71,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,152.40 : 165,135.72 = 47,775.92 : x
  2. Step 2: Convert to fraction form
    110,152.40/165,135.72 = 47,775.92/x
  3. Step 3: Cross multiply
    110,152.40x = 165,135.72 × 47,775.92
  4. Step 4: Simplify right side
    110,152.40x = 7,889,510,947.86
  5. Step 5: Solve for x
    x = 7,889,510,947.86/110,152.40
  6. Step 6: Final answer
    x = 71,623.60

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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.