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Finding the Fourth Proportional to 98,313, 147,470.04 and 24,441

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Solution

The fourth proportional to 98,313, 147,470.04 and 24,441 is: 36,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,313 : 147,470.04 = 24,441 : x
  2. Step 2: Convert to fraction form
    98,313/147,470.04 = 24,441/x
  3. Step 3: Cross multiply
    98,313x = 147,470.04 × 24,441
  4. Step 4: Simplify right side
    98,313x = 3,604,315,247.64
  5. Step 5: Solve for x
    x = 3,604,315,247.64/98,313
  6. Step 6: Final answer
    x = 36,661.63

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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.