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Finding the Fourth Proportional to 82,854.72, 114,342.75 and 47,048.09

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Solution

The fourth proportional to 82,854.72, 114,342.75 and 47,048.09 is: 64,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.72 : 114,342.75 = 47,048.09 : x
  2. Step 2: Convert to fraction form
    82,854.72/114,342.75 = 47,048.09/x
  3. Step 3: Cross multiply
    82,854.72x = 114,342.75 × 47,048.09
  4. Step 4: Simplify right side
    82,854.72x = 5,379,607,421.13
  5. Step 5: Solve for x
    x = 5,379,607,421.13/82,854.72
  6. Step 6: Final answer
    x = 64,928.20

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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.