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Finding the Fourth Proportional to 52,569.96, 78,808.04 and 19,282.24

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Solution

The fourth proportional to 52,569.96, 78,808.04 and 19,282.24 is: 28,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,569.96 : 78,808.04 = 19,282.24 : x
  2. Step 2: Convert to fraction form
    52,569.96/78,808.04 = 19,282.24/x
  3. Step 3: Cross multiply
    52,569.96x = 78,808.04 × 19,282.24
  4. Step 4: Simplify right side
    52,569.96x = 1,519,595,541.21
  5. Step 5: Solve for x
    x = 1,519,595,541.21/52,569.96
  6. Step 6: Final answer
    x = 28,906.16

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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.