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Finding the Fourth Proportional to 75,047.20, 103,533 and 43,209.34

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Solution

The fourth proportional to 75,047.20, 103,533 and 43,209.34 is: 59,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,047.20 : 103,533 = 43,209.34 : x
  2. Step 2: Convert to fraction form
    75,047.20/103,533 = 43,209.34/x
  3. Step 3: Cross multiply
    75,047.20x = 103,533 × 43,209.34
  4. Step 4: Simplify right side
    75,047.20x = 4,473,592,598.22
  5. Step 5: Solve for x
    x = 4,473,592,598.22/75,047.20
  6. Step 6: Final answer
    x = 59,610.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.