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Finding the Fourth Proportional to 21,038.50, 31,557.99 and 5,455.18

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Solution

The fourth proportional to 21,038.50, 31,557.99 and 5,455.18 is: 8,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.50 : 31,557.99 = 5,455.18 : x
  2. Step 2: Convert to fraction form
    21,038.50/31,557.99 = 5,455.18/x
  3. Step 3: Cross multiply
    21,038.50x = 31,557.99 × 5,455.18
  4. Step 4: Simplify right side
    21,038.50x = 172,154,515.89
  5. Step 5: Solve for x
    x = 172,154,515.89/21,038.50
  6. Step 6: Final answer
    x = 8,182.83

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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.