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Finding the Fourth Proportional to 102,604.17, 153,929.96 and 32,483.49

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Solution

The fourth proportional to 102,604.17, 153,929.96 and 32,483.49 is: 48,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604.17 : 153,929.96 = 32,483.49 : x
  2. Step 2: Convert to fraction form
    102,604.17/153,929.96 = 32,483.49/x
  3. Step 3: Cross multiply
    102,604.17x = 153,929.96 × 32,483.49
  4. Step 4: Simplify right side
    102,604.17x = 5,000,182,316.36
  5. Step 5: Solve for x
    x = 5,000,182,316.36/102,604.17
  6. Step 6: Final answer
    x = 48,732.74

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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.