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Finding the Fourth Proportional to 34,569.91, 51,855.88 and 13,509.10

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Solution

The fourth proportional to 34,569.91, 51,855.88 and 13,509.10 is: 20,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569.91 : 51,855.88 = 13,509.10 : x
  2. Step 2: Convert to fraction form
    34,569.91/51,855.88 = 13,509.10/x
  3. Step 3: Cross multiply
    34,569.91x = 51,855.88 × 13,509.10
  4. Step 4: Simplify right side
    34,569.91x = 700,526,009.23
  5. Step 5: Solve for x
    x = 700,526,009.23/34,569.91
  6. Step 6: Final answer
    x = 20,264.04

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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.