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Finding the Fourth Proportional to 82,336.16, 113,582.16 and 52,070.48

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Solution

The fourth proportional to 82,336.16, 113,582.16 and 52,070.48 is: 71,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,336.16 : 113,582.16 = 52,070.48 : x
  2. Step 2: Convert to fraction form
    82,336.16/113,582.16 = 52,070.48/x
  3. Step 3: Cross multiply
    82,336.16x = 113,582.16 × 52,070.48
  4. Step 4: Simplify right side
    82,336.16x = 5,914,277,590.64
  5. Step 5: Solve for x
    x = 5,914,277,590.64/82,336.16
  6. Step 6: Final answer
    x = 71,830.86

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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.