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Finding the Fourth Proportional to 29,484, 44,228.16 and 9,762.12

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Solution

The fourth proportional to 29,484, 44,228.16 and 9,762.12 is: 14,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484 : 44,228.16 = 9,762.12 : x
  2. Step 2: Convert to fraction form
    29,484/44,228.16 = 9,762.12/x
  3. Step 3: Cross multiply
    29,484x = 44,228.16 × 9,762.12
  4. Step 4: Simplify right side
    29,484x = 431,760,605.30
  5. Step 5: Solve for x
    x = 431,760,605.30/29,484
  6. Step 6: Final answer
    x = 14,643.90

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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.