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Finding the Fourth Proportional to 52,514.96, 78,749.40 and 19,226.40

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Solution

The fourth proportional to 52,514.96, 78,749.40 and 19,226.40 is: 28,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514.96 : 78,749.40 = 19,226.40 : x
  2. Step 2: Convert to fraction form
    52,514.96/78,749.40 = 19,226.40/x
  3. Step 3: Cross multiply
    52,514.96x = 78,749.40 × 19,226.40
  4. Step 4: Simplify right side
    52,514.96x = 1,514,067,464.16
  5. Step 5: Solve for x
    x = 1,514,067,464.16/52,514.96
  6. Step 6: Final answer
    x = 28,831.16

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1.5x scale

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.