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Finding the Fourth Proportional to 32,014.50, 48,006.40 and 15,133.46

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Solution

The fourth proportional to 32,014.50, 48,006.40 and 15,133.46 is: 22,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.50 : 48,006.40 = 15,133.46 : x
  2. Step 2: Convert to fraction form
    32,014.50/48,006.40 = 15,133.46/x
  3. Step 3: Cross multiply
    32,014.50x = 48,006.40 × 15,133.46
  4. Step 4: Simplify right side
    32,014.50x = 726,502,934.14
  5. Step 5: Solve for x
    x = 726,502,934.14/32,014.50
  6. Step 6: Final answer
    x = 22,692.93

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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.