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Finding the Fourth Proportional to 75,417, 104,084.64 and 43,586.16

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Solution

The fourth proportional to 75,417, 104,084.64 and 43,586.16 is: 60,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,417 : 104,084.64 = 43,586.16 : x
  2. Step 2: Convert to fraction form
    75,417/104,084.64 = 43,586.16/x
  3. Step 3: Cross multiply
    75,417x = 104,084.64 × 43,586.16
  4. Step 4: Simplify right side
    75,417x = 4,536,649,772.58
  5. Step 5: Solve for x
    x = 4,536,649,772.58/75,417
  6. Step 6: Final answer
    x = 60,154.21

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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.