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Finding the Fourth Proportional to 94,464, 141,719.04 and 28,800

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Solution

The fourth proportional to 94,464, 141,719.04 and 28,800 is: 43,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,464 : 141,719.04 = 28,800 : x
  2. Step 2: Convert to fraction form
    94,464/141,719.04 = 28,800/x
  3. Step 3: Cross multiply
    94,464x = 141,719.04 × 28,800
  4. Step 4: Simplify right side
    94,464x = 4,081,508,352
  5. Step 5: Solve for x
    x = 4,081,508,352/94,464
  6. Step 6: Final answer
    x = 43,207.02

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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.