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Finding the Fourth Proportional to 102,024, 153,044.82 and 28,152

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Solution

The fourth proportional to 102,024, 153,044.82 and 28,152 is: 42,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024 : 153,044.82 = 28,152 : x
  2. Step 2: Convert to fraction form
    102,024/153,044.82 = 28,152/x
  3. Step 3: Cross multiply
    102,024x = 153,044.82 × 28,152
  4. Step 4: Simplify right side
    102,024x = 4,308,517,772.64
  5. Step 5: Solve for x
    x = 4,308,517,772.64/102,024
  6. Step 6: Final answer
    x = 42,230.43

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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.