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Finding the Fourth Proportional to 32,829.84, 49,248.16 and 10,642.32

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Solution

The fourth proportional to 32,829.84, 49,248.16 and 10,642.32 is: 15,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.84 : 49,248.16 = 10,642.32 : x
  2. Step 2: Convert to fraction form
    32,829.84/49,248.16 = 10,642.32/x
  3. Step 3: Cross multiply
    32,829.84x = 49,248.16 × 10,642.32
  4. Step 4: Simplify right side
    32,829.84x = 524,114,678.13
  5. Step 5: Solve for x
    x = 524,114,678.13/32,829.84
  6. Step 6: Final answer
    x = 15,964.58

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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.