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Finding the Fourth Proportional to 46,714.08, 70,027.36 and 15,542.08

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Solution

The fourth proportional to 46,714.08, 70,027.36 and 15,542.08 is: 23,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714.08 : 70,027.36 = 15,542.08 : x
  2. Step 2: Convert to fraction form
    46,714.08/70,027.36 = 15,542.08/x
  3. Step 3: Cross multiply
    46,714.08x = 70,027.36 × 15,542.08
  4. Step 4: Simplify right side
    46,714.08x = 1,088,370,831.31
  5. Step 5: Solve for x
    x = 1,088,370,831.31/46,714.08
  6. Step 6: Final answer
    x = 23,298.56

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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.