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Finding the Fourth Proportional to 30,811.60, 46,152.60 and 25,627.60

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Solution

The fourth proportional to 30,811.60, 46,152.60 and 25,627.60 is: 38,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.60 : 46,152.60 = 25,627.60 : x
  2. Step 2: Convert to fraction form
    30,811.60/46,152.60 = 25,627.60/x
  3. Step 3: Cross multiply
    30,811.60x = 46,152.60 × 25,627.60
  4. Step 4: Simplify right side
    30,811.60x = 1,182,780,371.76
  5. Step 5: Solve for x
    x = 1,182,780,371.76/30,811.60
  6. Step 6: Final answer
    x = 38,387.50

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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.