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Finding the Fourth Proportional to 69,607.11, 96,057.86 and 37,776

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Solution

The fourth proportional to 69,607.11, 96,057.86 and 37,776 is: 52,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,607.11 : 96,057.86 = 37,776 : x
  2. Step 2: Convert to fraction form
    69,607.11/96,057.86 = 37,776/x
  3. Step 3: Cross multiply
    69,607.11x = 96,057.86 × 37,776
  4. Step 4: Simplify right side
    69,607.11x = 3,628,681,719.36
  5. Step 5: Solve for x
    x = 3,628,681,719.36/69,607.11
  6. Step 6: Final answer
    x = 52,130.91

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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.