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Finding the Fourth Proportional to 35,678.96, 53,507.48 and 13,502.80

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Solution

The fourth proportional to 35,678.96, 53,507.48 and 13,502.80 is: 20,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.96 : 53,507.48 = 13,502.80 : x
  2. Step 2: Convert to fraction form
    35,678.96/53,507.48 = 13,502.80/x
  3. Step 3: Cross multiply
    35,678.96x = 53,507.48 × 13,502.80
  4. Step 4: Simplify right side
    35,678.96x = 722,500,800.94
  5. Step 5: Solve for x
    x = 722,500,800.94/35,678.96
  6. Step 6: Final answer
    x = 20,250.05

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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.