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Finding the Fourth Proportional to 102,446.88, 153,653.04 and 32,316

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Solution

The fourth proportional to 102,446.88, 153,653.04 and 32,316 is: 48,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,446.88 : 153,653.04 = 32,316 : x
  2. Step 2: Convert to fraction form
    102,446.88/153,653.04 = 32,316/x
  3. Step 3: Cross multiply
    102,446.88x = 153,653.04 × 32,316
  4. Step 4: Simplify right side
    102,446.88x = 4,965,451,640.64
  5. Step 5: Solve for x
    x = 4,965,451,640.64/102,446.88
  6. Step 6: Final answer
    x = 48,468.55

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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.