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Finding the Fourth Proportional to 35,690.70, 53,531.48 and 9,397.46

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Solution

The fourth proportional to 35,690.70, 53,531.48 and 9,397.46 is: 14,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690.70 : 53,531.48 = 9,397.46 : x
  2. Step 2: Convert to fraction form
    35,690.70/53,531.48 = 9,397.46/x
  3. Step 3: Cross multiply
    35,690.70x = 53,531.48 × 9,397.46
  4. Step 4: Simplify right side
    35,690.70x = 503,059,942.04
  5. Step 5: Solve for x
    x = 503,059,942.04/35,690.70
  6. Step 6: Final answer
    x = 14,094.99

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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.