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Finding the Fourth Proportional to 52,651.10, 78,964.99 and 15,203.02

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Solution

The fourth proportional to 52,651.10, 78,964.99 and 15,203.02 is: 22,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,651.10 : 78,964.99 = 15,203.02 : x
  2. Step 2: Convert to fraction form
    52,651.10/78,964.99 = 15,203.02/x
  3. Step 3: Cross multiply
    52,651.10x = 78,964.99 × 15,203.02
  4. Step 4: Simplify right side
    52,651.10x = 1,200,506,322.27
  5. Step 5: Solve for x
    x = 1,200,506,322.27/52,651.10
  6. Step 6: Final answer
    x = 22,801.16

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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.