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Finding the Fourth Proportional to 39,034, 58,552.62 and 11,332

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Solution

The fourth proportional to 39,034, 58,552.62 and 11,332 is: 16,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,034 : 58,552.62 = 11,332 : x
  2. Step 2: Convert to fraction form
    39,034/58,552.62 = 11,332/x
  3. Step 3: Cross multiply
    39,034x = 58,552.62 × 11,332
  4. Step 4: Simplify right side
    39,034x = 663,518,289.84
  5. Step 5: Solve for x
    x = 663,518,289.84/39,034
  6. Step 6: Final answer
    x = 16,998.47

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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.