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Finding the Fourth Proportional to 76,167.36, 105,098.44 and 47,853

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Solution

The fourth proportional to 76,167.36, 105,098.44 and 47,853 is: 66,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167.36 : 105,098.44 = 47,853 : x
  2. Step 2: Convert to fraction form
    76,167.36/105,098.44 = 47,853/x
  3. Step 3: Cross multiply
    76,167.36x = 105,098.44 × 47,853
  4. Step 4: Simplify right side
    76,167.36x = 5,029,275,649.32
  5. Step 5: Solve for x
    x = 5,029,275,649.32/76,167.36
  6. Step 6: Final answer
    x = 66,029.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.