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Finding the Fourth Proportional to 34,984.82, 52,461.78 and 10,019.20

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Solution

The fourth proportional to 34,984.82, 52,461.78 and 10,019.20 is: 15,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984.82 : 52,461.78 = 10,019.20 : x
  2. Step 2: Convert to fraction form
    34,984.82/52,461.78 = 10,019.20/x
  3. Step 3: Cross multiply
    34,984.82x = 52,461.78 × 10,019.20
  4. Step 4: Simplify right side
    34,984.82x = 525,625,066.18
  5. Step 5: Solve for x
    x = 525,625,066.18/34,984.82
  6. Step 6: Final answer
    x = 15,024.38

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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.