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Finding the Fourth Proportional to 32,865.12, 49,298.40 and 10,678.50

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Solution

The fourth proportional to 32,865.12, 49,298.40 and 10,678.50 is: 16,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.12 : 49,298.40 = 10,678.50 : x
  2. Step 2: Convert to fraction form
    32,865.12/49,298.40 = 10,678.50/x
  3. Step 3: Cross multiply
    32,865.12x = 49,298.40 × 10,678.50
  4. Step 4: Simplify right side
    32,865.12x = 526,432,964.40
  5. Step 5: Solve for x
    x = 526,432,964.40/32,865.12
  6. Step 6: Final answer
    x = 16,017.98

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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.