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Finding the Fourth Proportional to 34,411.53, 47,488.38 and 19,307.46

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Solution

The fourth proportional to 34,411.53, 47,488.38 and 19,307.46 is: 26,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411.53 : 47,488.38 = 19,307.46 : x
  2. Step 2: Convert to fraction form
    34,411.53/47,488.38 = 19,307.46/x
  3. Step 3: Cross multiply
    34,411.53x = 47,488.38 × 19,307.46
  4. Step 4: Simplify right side
    34,411.53x = 916,879,997.31
  5. Step 5: Solve for x
    x = 916,879,997.31/34,411.53
  6. Step 6: Final answer
    x = 26,644.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.