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Finding the Fourth Proportional to 32,557.14, 48,802.50 and 12,827.70

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Solution

The fourth proportional to 32,557.14, 48,802.50 and 12,827.70 is: 19,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.14 : 48,802.50 = 12,827.70 : x
  2. Step 2: Convert to fraction form
    32,557.14/48,802.50 = 12,827.70/x
  3. Step 3: Cross multiply
    32,557.14x = 48,802.50 × 12,827.70
  4. Step 4: Simplify right side
    32,557.14x = 626,023,829.25
  5. Step 5: Solve for x
    x = 626,023,829.25/32,557.14
  6. Step 6: Final answer
    x = 19,228.47

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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.