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Finding the Fourth Proportional to 35,814.70, 53,703.15 and 12,114.10

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Solution

The fourth proportional to 35,814.70, 53,703.15 and 12,114.10 is: 18,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.70 : 53,703.15 = 12,114.10 : x
  2. Step 2: Convert to fraction form
    35,814.70/53,703.15 = 12,114.10/x
  3. Step 3: Cross multiply
    35,814.70x = 53,703.15 × 12,114.10
  4. Step 4: Simplify right side
    35,814.70x = 650,565,329.42
  5. Step 5: Solve for x
    x = 650,565,329.42/35,814.70
  6. Step 6: Final answer
    x = 18,164.76

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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.