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Finding the Fourth Proportional to 29,492, 44,238.16 and 7,604

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Solution

The fourth proportional to 29,492, 44,238.16 and 7,604 is: 11,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,492 : 44,238.16 = 7,604 : x
  2. Step 2: Convert to fraction form
    29,492/44,238.16 = 7,604/x
  3. Step 3: Cross multiply
    29,492x = 44,238.16 × 7,604
  4. Step 4: Simplify right side
    29,492x = 336,386,968.64
  5. Step 5: Solve for x
    x = 336,386,968.64/29,492
  6. Step 6: Final answer
    x = 11,406.04

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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.