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Finding the Fourth Proportional to 66,029, 99,044.36 and 24,476

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Solution

The fourth proportional to 66,029, 99,044.36 and 24,476 is: 36,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,029 : 99,044.36 = 24,476 : x
  2. Step 2: Convert to fraction form
    66,029/99,044.36 = 24,476/x
  3. Step 3: Cross multiply
    66,029x = 99,044.36 × 24,476
  4. Step 4: Simplify right side
    66,029x = 2,424,209,755.36
  5. Step 5: Solve for x
    x = 2,424,209,755.36/66,029
  6. Step 6: Final answer
    x = 36,714.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.