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Finding the Fourth Proportional to 34,045.84, 51,051.48 and 15,562

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Solution

The fourth proportional to 34,045.84, 51,051.48 and 15,562 is: 23,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045.84 : 51,051.48 = 15,562 : x
  2. Step 2: Convert to fraction form
    34,045.84/51,051.48 = 15,562/x
  3. Step 3: Cross multiply
    34,045.84x = 51,051.48 × 15,562
  4. Step 4: Simplify right side
    34,045.84x = 794,463,131.76
  5. Step 5: Solve for x
    x = 794,463,131.76/34,045.84
  6. Step 6: Final answer
    x = 23,335.10

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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.