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Finding the Fourth Proportional to 34,130.58, 51,139.98 and 32,834.58

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Solution

The fourth proportional to 34,130.58, 51,139.98 and 32,834.58 is: 49,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130.58 : 51,139.98 = 32,834.58 : x
  2. Step 2: Convert to fraction form
    34,130.58/51,139.98 = 32,834.58/x
  3. Step 3: Cross multiply
    34,130.58x = 51,139.98 × 32,834.58
  4. Step 4: Simplify right side
    34,130.58x = 1,679,159,764.51
  5. Step 5: Solve for x
    x = 1,679,159,764.51/34,130.58
  6. Step 6: Final answer
    x = 49,198.10

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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.