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Finding the Fourth Proportional to 52,516.96, 78,752.40 and 19,228.40

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Solution

The fourth proportional to 52,516.96, 78,752.40 and 19,228.40 is: 28,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,516.96 : 78,752.40 = 19,228.40 : x
  2. Step 2: Convert to fraction form
    52,516.96/78,752.40 = 19,228.40/x
  3. Step 3: Cross multiply
    52,516.96x = 78,752.40 × 19,228.40
  4. Step 4: Simplify right side
    52,516.96x = 1,514,282,648.16
  5. Step 5: Solve for x
    x = 1,514,282,648.16/52,516.96
  6. Step 6: Final answer
    x = 28,834.16

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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.