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Finding the Fourth Proportional to 32,135.40, 48,203.10 and 16,340.40

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Solution

The fourth proportional to 32,135.40, 48,203.10 and 16,340.40 is: 24,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.40 : 48,203.10 = 16,340.40 : x
  2. Step 2: Convert to fraction form
    32,135.40/48,203.10 = 16,340.40/x
  3. Step 3: Cross multiply
    32,135.40x = 48,203.10 × 16,340.40
  4. Step 4: Simplify right side
    32,135.40x = 787,657,935.24
  5. Step 5: Solve for x
    x = 787,657,935.24/32,135.40
  6. Step 6: Final answer
    x = 24,510.60

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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.