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Finding the Fourth Proportional to 75,528, 104,228.64 and 41,994

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Solution

The fourth proportional to 75,528, 104,228.64 and 41,994 is: 57,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,528 : 104,228.64 = 41,994 : x
  2. Step 2: Convert to fraction form
    75,528/104,228.64 = 41,994/x
  3. Step 3: Cross multiply
    75,528x = 104,228.64 × 41,994
  4. Step 4: Simplify right side
    75,528x = 4,376,977,508.16
  5. Step 5: Solve for x
    x = 4,376,977,508.16/75,528
  6. Step 6: Final answer
    x = 57,951.72

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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.