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Finding the Fourth Proportional to 76,314.90, 114,479.64 and 23,710.26

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Solution

The fourth proportional to 76,314.90, 114,479.64 and 23,710.26 is: 35,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.90 : 114,479.64 = 23,710.26 : x
  2. Step 2: Convert to fraction form
    76,314.90/114,479.64 = 23,710.26/x
  3. Step 3: Cross multiply
    76,314.90x = 114,479.64 × 23,710.26
  4. Step 4: Simplify right side
    76,314.90x = 2,714,342,029.11
  5. Step 5: Solve for x
    x = 2,714,342,029.11/76,314.90
  6. Step 6: Final answer
    x = 35,567.65

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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.