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Finding the Fourth Proportional to 38,057.52, 57,089.65 and 9,977.50

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Solution

The fourth proportional to 38,057.52, 57,089.65 and 9,977.50 is: 14,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.52 : 57,089.65 = 9,977.50 : x
  2. Step 2: Convert to fraction form
    38,057.52/57,089.65 = 9,977.50/x
  3. Step 3: Cross multiply
    38,057.52x = 57,089.65 × 9,977.50
  4. Step 4: Simplify right side
    38,057.52x = 569,611,982.88
  5. Step 5: Solve for x
    x = 569,611,982.88/38,057.52
  6. Step 6: Final answer
    x = 14,967.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.