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Finding the Fourth Proportional to 35,357.34, 53,027.80 and 10,390.70

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Solution

The fourth proportional to 35,357.34, 53,027.80 and 10,390.70 is: 15,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,357.34 : 53,027.80 = 10,390.70 : x
  2. Step 2: Convert to fraction form
    35,357.34/53,027.80 = 10,390.70/x
  3. Step 3: Cross multiply
    35,357.34x = 53,027.80 × 10,390.70
  4. Step 4: Simplify right side
    35,357.34x = 550,995,961.46
  5. Step 5: Solve for x
    x = 550,995,961.46/35,357.34
  6. Step 6: Final answer
    x = 15,583.64

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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.