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Finding the Fourth Proportional to 32,117.40, 48,176.10 and 20,307.60

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Solution

The fourth proportional to 32,117.40, 48,176.10 and 20,307.60 is: 30,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.40 : 48,176.10 = 20,307.60 : x
  2. Step 2: Convert to fraction form
    32,117.40/48,176.10 = 20,307.60/x
  3. Step 3: Cross multiply
    32,117.40x = 48,176.10 × 20,307.60
  4. Step 4: Simplify right side
    32,117.40x = 978,340,968.36
  5. Step 5: Solve for x
    x = 978,340,968.36/32,117.40
  6. Step 6: Final answer
    x = 30,461.40

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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.