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Finding the Fourth Proportional to 35,712.50, 53,307.97 and 33,110.72

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Solution

The fourth proportional to 35,712.50, 53,307.97 and 33,110.72 is: 49,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.50 : 53,307.97 = 33,110.72 : x
  2. Step 2: Convert to fraction form
    35,712.50/53,307.97 = 33,110.72/x
  3. Step 3: Cross multiply
    35,712.50x = 53,307.97 × 33,110.72
  4. Step 4: Simplify right side
    35,712.50x = 1,765,065,605.13
  5. Step 5: Solve for x
    x = 1,765,065,605.13/35,712.50
  6. Step 6: Final answer
    x = 49,424.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.