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Finding the Fourth Proportional to 35,709.20, 53,542.20 and 15,984.08

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Solution

The fourth proportional to 35,709.20, 53,542.20 and 15,984.08 is: 23,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.20 : 53,542.20 = 15,984.08 : x
  2. Step 2: Convert to fraction form
    35,709.20/53,542.20 = 15,984.08/x
  3. Step 3: Cross multiply
    35,709.20x = 53,542.20 × 15,984.08
  4. Step 4: Simplify right side
    35,709.20x = 855,822,808.18
  5. Step 5: Solve for x
    x = 855,822,808.18/35,709.20
  6. Step 6: Final answer
    x = 23,966.45

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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.