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Finding the Fourth Proportional to 29,678.16, 44,509.95 and 9,956.28

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Solution

The fourth proportional to 29,678.16, 44,509.95 and 9,956.28 is: 14,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.16 : 44,509.95 = 9,956.28 : x
  2. Step 2: Convert to fraction form
    29,678.16/44,509.95 = 9,956.28/x
  3. Step 3: Cross multiply
    29,678.16x = 44,509.95 × 9,956.28
  4. Step 4: Simplify right side
    29,678.16x = 443,153,524.99
  5. Step 5: Solve for x
    x = 443,153,524.99/29,678.16
  6. Step 6: Final answer
    x = 14,931.97

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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.