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Finding the Fourth Proportional to 32,569.60, 48,927.30 and 31,330.30

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Solution

The fourth proportional to 32,569.60, 48,927.30 and 31,330.30 is: 47,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,569.60 : 48,927.30 = 31,330.30 : x
  2. Step 2: Convert to fraction form
    32,569.60/48,927.30 = 31,330.30/x
  3. Step 3: Cross multiply
    32,569.60x = 48,927.30 × 31,330.30
  4. Step 4: Simplify right side
    32,569.60x = 1,532,906,987.19
  5. Step 5: Solve for x
    x = 1,532,906,987.19/32,569.60
  6. Step 6: Final answer
    x = 47,065.58

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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.