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Finding the Fourth Proportional to 102,013.83, 153,024.80 and 31,893.75

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Solution

The fourth proportional to 102,013.83, 153,024.80 and 31,893.75 is: 47,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013.83 : 153,024.80 = 31,893.75 : x
  2. Step 2: Convert to fraction form
    102,013.83/153,024.80 = 31,893.75/x
  3. Step 3: Cross multiply
    102,013.83x = 153,024.80 × 31,893.75
  4. Step 4: Simplify right side
    102,013.83x = 4,880,534,555.53
  5. Step 5: Solve for x
    x = 4,880,534,555.53/102,013.83
  6. Step 6: Final answer
    x = 47,841.89

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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.