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Finding the Fourth Proportional to 34,497.65, 51,746.40 and 9,537.63

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Solution

The fourth proportional to 34,497.65, 51,746.40 and 9,537.63 is: 14,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497.65 : 51,746.40 = 9,537.63 : x
  2. Step 2: Convert to fraction form
    34,497.65/51,746.40 = 9,537.63/x
  3. Step 3: Cross multiply
    34,497.65x = 51,746.40 × 9,537.63
  4. Step 4: Simplify right side
    34,497.65x = 493,538,017.03
  5. Step 5: Solve for x
    x = 493,538,017.03/34,497.65
  6. Step 6: Final answer
    x = 14,306.43

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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.