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Finding the Fourth Proportional to 32,469.04, 48,706 and 10,284.16

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Solution

The fourth proportional to 32,469.04, 48,706 and 10,284.16 is: 15,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.04 : 48,706 = 10,284.16 : x
  2. Step 2: Convert to fraction form
    32,469.04/48,706 = 10,284.16/x
  3. Step 3: Cross multiply
    32,469.04x = 48,706 × 10,284.16
  4. Step 4: Simplify right side
    32,469.04x = 500,900,296.96
  5. Step 5: Solve for x
    x = 500,900,296.96/32,469.04
  6. Step 6: Final answer
    x = 15,427.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.