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Finding the Fourth Proportional to 107,047.80, 160,571.70 and 57,281.40

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Solution

The fourth proportional to 107,047.80, 160,571.70 and 57,281.40 is: 85,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,047.80 : 160,571.70 = 57,281.40 : x
  2. Step 2: Convert to fraction form
    107,047.80/160,571.70 = 57,281.40/x
  3. Step 3: Cross multiply
    107,047.80x = 160,571.70 × 57,281.40
  4. Step 4: Simplify right side
    107,047.80x = 9,197,771,776.38
  5. Step 5: Solve for x
    x = 9,197,771,776.38/107,047.80
  6. Step 6: Final answer
    x = 85,922.10

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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.