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Finding the Fourth Proportional to 32,830.87, 49,253.50 and 10,646.49

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Solution

The fourth proportional to 32,830.87, 49,253.50 and 10,646.49 is: 15,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.87 : 49,253.50 = 10,646.49 : x
  2. Step 2: Convert to fraction form
    32,830.87/49,253.50 = 10,646.49/x
  3. Step 3: Cross multiply
    32,830.87x = 49,253.50 × 10,646.49
  4. Step 4: Simplify right side
    32,830.87x = 524,376,816.17
  5. Step 5: Solve for x
    x = 524,376,816.17/32,830.87
  6. Step 6: Final answer
    x = 15,972.07

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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.