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Finding the Fourth Proportional to 59,427, 82,009.26 and 35,554.68

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Solution

The fourth proportional to 59,427, 82,009.26 and 35,554.68 is: 49,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427 : 82,009.26 = 35,554.68 : x
  2. Step 2: Convert to fraction form
    59,427/82,009.26 = 35,554.68/x
  3. Step 3: Cross multiply
    59,427x = 82,009.26 × 35,554.68
  4. Step 4: Simplify right side
    59,427x = 2,915,812,996.34
  5. Step 5: Solve for x
    x = 2,915,812,996.34/59,427
  6. Step 6: Final answer
    x = 49,065.46

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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.