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Finding the Fourth Proportional to 82,612.72, 114,001.86 and 46,800.64

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Solution

The fourth proportional to 82,612.72, 114,001.86 and 46,800.64 is: 64,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,612.72 : 114,001.86 = 46,800.64 : x
  2. Step 2: Convert to fraction form
    82,612.72/114,001.86 = 46,800.64/x
  3. Step 3: Cross multiply
    82,612.72x = 114,001.86 × 46,800.64
  4. Step 4: Simplify right side
    82,612.72x = 5,335,360,009.19
  5. Step 5: Solve for x
    x = 5,335,360,009.19/82,612.72
  6. Step 6: Final answer
    x = 64,582.79

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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.