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Finding the Fourth Proportional to 57,843.40, 86,678.70 and 49,030.60

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Solution

The fourth proportional to 57,843.40, 86,678.70 and 49,030.60 is: 73,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843.40 : 86,678.70 = 49,030.60 : x
  2. Step 2: Convert to fraction form
    57,843.40/86,678.70 = 49,030.60/x
  3. Step 3: Cross multiply
    57,843.40x = 86,678.70 × 49,030.60
  4. Step 4: Simplify right side
    57,843.40x = 4,249,908,668.22
  5. Step 5: Solve for x
    x = 4,249,908,668.22/57,843.40
  6. Step 6: Final answer
    x = 73,472.66

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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.