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Finding the Fourth Proportional to 75,511.76, 104,165.24 and 46,821.74

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Solution

The fourth proportional to 75,511.76, 104,165.24 and 46,821.74 is: 64,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,511.76 : 104,165.24 = 46,821.74 : x
  2. Step 2: Convert to fraction form
    75,511.76/104,165.24 = 46,821.74/x
  3. Step 3: Cross multiply
    75,511.76x = 104,165.24 × 46,821.74
  4. Step 4: Simplify right side
    75,511.76x = 4,877,197,029.38
  5. Step 5: Solve for x
    x = 4,877,197,029.38/75,511.76
  6. Step 6: Final answer
    x = 64,588.58

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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.