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Finding the Fourth Proportional to 57,828.86, 79,802.79 and 32,677.82

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Solution

The fourth proportional to 57,828.86, 79,802.79 and 32,677.82 is: 45,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,828.86 : 79,802.79 = 32,677.82 : x
  2. Step 2: Convert to fraction form
    57,828.86/79,802.79 = 32,677.82/x
  3. Step 3: Cross multiply
    57,828.86x = 79,802.79 × 32,677.82
  4. Step 4: Simplify right side
    57,828.86x = 2,607,781,207.12
  5. Step 5: Solve for x
    x = 2,607,781,207.12/57,828.86
  6. Step 6: Final answer
    x = 45,094.81

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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.