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Finding the Fourth Proportional to 85,367.16, 117,811.80 and 47,643.84

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Solution

The fourth proportional to 85,367.16, 117,811.80 and 47,643.84 is: 65,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,367.16 : 117,811.80 = 47,643.84 : x
  2. Step 2: Convert to fraction form
    85,367.16/117,811.80 = 47,643.84/x
  3. Step 3: Cross multiply
    85,367.16x = 117,811.80 × 47,643.84
  4. Step 4: Simplify right side
    85,367.16x = 5,613,006,549.31
  5. Step 5: Solve for x
    x = 5,613,006,549.31/85,367.16
  6. Step 6: Final answer
    x = 65,751.36

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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.