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Finding the Fourth Proportional to 35,898.19, 53,847.74 and 12,524.63

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Solution

The fourth proportional to 35,898.19, 53,847.74 and 12,524.63 is: 18,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.19 : 53,847.74 = 12,524.63 : x
  2. Step 2: Convert to fraction form
    35,898.19/53,847.74 = 12,524.63/x
  3. Step 3: Cross multiply
    35,898.19x = 53,847.74 × 12,524.63
  4. Step 4: Simplify right side
    35,898.19x = 674,422,711.46
  5. Step 5: Solve for x
    x = 674,422,711.46/35,898.19
  6. Step 6: Final answer
    x = 18,787.10

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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.