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Finding the Fourth Proportional to 35,709.40, 53,525.70 and 13,514.20

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Solution

The fourth proportional to 35,709.40, 53,525.70 and 13,514.20 is: 20,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.40 : 53,525.70 = 13,514.20 : x
  2. Step 2: Convert to fraction form
    35,709.40/53,525.70 = 13,514.20/x
  3. Step 3: Cross multiply
    35,709.40x = 53,525.70 × 13,514.20
  4. Step 4: Simplify right side
    35,709.40x = 723,357,014.94
  5. Step 5: Solve for x
    x = 723,357,014.94/35,709.40
  6. Step 6: Final answer
    x = 20,256.77

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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.