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Finding the Fourth Proportional to 77,468.16, 106,881.68 and 43,471.64

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Solution

The fourth proportional to 77,468.16, 106,881.68 and 43,471.64 is: 59,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,468.16 : 106,881.68 = 43,471.64 : x
  2. Step 2: Convert to fraction form
    77,468.16/106,881.68 = 43,471.64/x
  3. Step 3: Cross multiply
    77,468.16x = 106,881.68 × 43,471.64
  4. Step 4: Simplify right side
    77,468.16x = 4,646,321,915.56
  5. Step 5: Solve for x
    x = 4,646,321,915.56/77,468.16
  6. Step 6: Final answer
    x = 59,977.18

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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.