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Finding the Fourth Proportional to 34,089.78, 51,158.02 and 11,903.16

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Solution

The fourth proportional to 34,089.78, 51,158.02 and 11,903.16 is: 17,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089.78 : 51,158.02 = 11,903.16 : x
  2. Step 2: Convert to fraction form
    34,089.78/51,158.02 = 11,903.16/x
  3. Step 3: Cross multiply
    34,089.78x = 51,158.02 × 11,903.16
  4. Step 4: Simplify right side
    34,089.78x = 608,942,097.34
  5. Step 5: Solve for x
    x = 608,942,097.34/34,089.78
  6. Step 6: Final answer
    x = 17,862.89

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1.5x scale

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.