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Finding the Fourth Proportional to 85,322.23, 117,748.32 and 47,596.48

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Solution

The fourth proportional to 85,322.23, 117,748.32 and 47,596.48 is: 65,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,322.23 : 117,748.32 = 47,596.48 : x
  2. Step 2: Convert to fraction form
    85,322.23/117,748.32 = 47,596.48/x
  3. Step 3: Cross multiply
    85,322.23x = 117,748.32 × 47,596.48
  4. Step 4: Simplify right side
    85,322.23x = 5,604,405,557.91
  5. Step 5: Solve for x
    x = 5,604,405,557.91/85,322.23
  6. Step 6: Final answer
    x = 65,685.17

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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.