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Finding the Fourth Proportional to 35,764.39, 53,640.51 and 9,471.79

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Solution

The fourth proportional to 35,764.39, 53,640.51 and 9,471.79 is: 14,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.39 : 53,640.51 = 9,471.79 : x
  2. Step 2: Convert to fraction form
    35,764.39/53,640.51 = 9,471.79/x
  3. Step 3: Cross multiply
    35,764.39x = 53,640.51 × 9,471.79
  4. Step 4: Simplify right side
    35,764.39x = 508,071,677.74
  5. Step 5: Solve for x
    x = 508,071,677.74/35,764.39
  6. Step 6: Final answer
    x = 14,206.08

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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.