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Finding the Fourth Proportional to 32,483.60, 48,725.40 and 15,854.30

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Solution

The fourth proportional to 32,483.60, 48,725.40 and 15,854.30 is: 23,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.60 : 48,725.40 = 15,854.30 : x
  2. Step 2: Convert to fraction form
    32,483.60/48,725.40 = 15,854.30/x
  3. Step 3: Cross multiply
    32,483.60x = 48,725.40 × 15,854.30
  4. Step 4: Simplify right side
    32,483.60x = 772,507,109.22
  5. Step 5: Solve for x
    x = 772,507,109.22/32,483.60
  6. Step 6: Final answer
    x = 23,781.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.