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Finding the Fourth Proportional to 35,203.64, 52,802.82 and 10,243.88

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Solution

The fourth proportional to 35,203.64, 52,802.82 and 10,243.88 is: 15,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.64 : 52,802.82 = 10,243.88 : x
  2. Step 2: Convert to fraction form
    35,203.64/52,802.82 = 10,243.88/x
  3. Step 3: Cross multiply
    35,203.64x = 52,802.82 × 10,243.88
  4. Step 4: Simplify right side
    35,203.64x = 540,905,751.74
  5. Step 5: Solve for x
    x = 540,905,751.74/35,203.64
  6. Step 6: Final answer
    x = 15,365.05

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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.