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Finding the Fourth Proportional to 35,189.70, 52,784.73 and 8,894.47

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Solution

The fourth proportional to 35,189.70, 52,784.73 and 8,894.47 is: 13,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,189.70 : 52,784.73 = 8,894.47 : x
  2. Step 2: Convert to fraction form
    35,189.70/52,784.73 = 8,894.47/x
  3. Step 3: Cross multiply
    35,189.70x = 52,784.73 × 8,894.47
  4. Step 4: Simplify right side
    35,189.70x = 469,492,065.48
  5. Step 5: Solve for x
    x = 469,492,065.48/35,189.70
  6. Step 6: Final answer
    x = 13,341.75

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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.