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Finding the Fourth Proportional to 73,963, 102,068.94 and 40,429

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Solution

The fourth proportional to 73,963, 102,068.94 and 40,429 is: 55,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963 : 102,068.94 = 40,429 : x
  2. Step 2: Convert to fraction form
    73,963/102,068.94 = 40,429/x
  3. Step 3: Cross multiply
    73,963x = 102,068.94 × 40,429
  4. Step 4: Simplify right side
    73,963x = 4,126,545,175.26
  5. Step 5: Solve for x
    x = 4,126,545,175.26/73,963
  6. Step 6: Final answer
    x = 55,792.02

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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.