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Finding the Fourth Proportional to 76,891.38, 106,035.93 and 68,368.02

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Solution

The fourth proportional to 76,891.38, 106,035.93 and 68,368.02 is: 94,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,891.38 : 106,035.93 = 68,368.02 : x
  2. Step 2: Convert to fraction form
    76,891.38/106,035.93 = 68,368.02/x
  3. Step 3: Cross multiply
    76,891.38x = 106,035.93 × 68,368.02
  4. Step 4: Simplify right side
    76,891.38x = 7,249,466,582.96
  5. Step 5: Solve for x
    x = 7,249,466,582.96/76,891.38
  6. Step 6: Final answer
    x = 94,281.92

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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.