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Finding the Fourth Proportional to 83,187.64, 114,830.22 and 56,468.44

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Solution

The fourth proportional to 83,187.64, 114,830.22 and 56,468.44 is: 77,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.64 : 114,830.22 = 56,468.44 : x
  2. Step 2: Convert to fraction form
    83,187.64/114,830.22 = 56,468.44/x
  3. Step 3: Cross multiply
    83,187.64x = 114,830.22 × 56,468.44
  4. Step 4: Simplify right side
    83,187.64x = 6,484,283,388.26
  5. Step 5: Solve for x
    x = 6,484,283,388.26/83,187.64
  6. Step 6: Final answer
    x = 77,947.68

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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.