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Finding the Fourth Proportional to 32,041.60, 48,062.40 and 31,811.20

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Solution

The fourth proportional to 32,041.60, 48,062.40 and 31,811.20 is: 47,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.60 : 48,062.40 = 31,811.20 : x
  2. Step 2: Convert to fraction form
    32,041.60/48,062.40 = 31,811.20/x
  3. Step 3: Cross multiply
    32,041.60x = 48,062.40 × 31,811.20
  4. Step 4: Simplify right side
    32,041.60x = 1,528,922,618.88
  5. Step 5: Solve for x
    x = 1,528,922,618.88/32,041.60
  6. Step 6: Final answer
    x = 47,716.80

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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.