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Finding the Fourth Proportional to 35,071.80, 52,615.06 and 10,111.80

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Solution

The fourth proportional to 35,071.80, 52,615.06 and 10,111.80 is: 15,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071.80 : 52,615.06 = 10,111.80 : x
  2. Step 2: Convert to fraction form
    35,071.80/52,615.06 = 10,111.80/x
  3. Step 3: Cross multiply
    35,071.80x = 52,615.06 × 10,111.80
  4. Step 4: Simplify right side
    35,071.80x = 532,032,963.71
  5. Step 5: Solve for x
    x = 532,032,963.71/35,071.80
  6. Step 6: Final answer
    x = 15,169.82

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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.