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Finding the Fourth Proportional to 29,585.50, 44,384.73 and 11,117.50

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Solution

The fourth proportional to 29,585.50, 44,384.73 and 11,117.50 is: 16,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.50 : 44,384.73 = 11,117.50 : x
  2. Step 2: Convert to fraction form
    29,585.50/44,384.73 = 11,117.50/x
  3. Step 3: Cross multiply
    29,585.50x = 44,384.73 × 11,117.50
  4. Step 4: Simplify right side
    29,585.50x = 493,447,235.78
  5. Step 5: Solve for x
    x = 493,447,235.78/29,585.50
  6. Step 6: Final answer
    x = 16,678.69

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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.