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Finding the Fourth Proportional to 97,054.17, 133,932.14 and 54,033.66

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Solution

The fourth proportional to 97,054.17, 133,932.14 and 54,033.66 is: 74,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,054.17 : 133,932.14 = 54,033.66 : x
  2. Step 2: Convert to fraction form
    97,054.17/133,932.14 = 54,033.66/x
  3. Step 3: Cross multiply
    97,054.17x = 133,932.14 × 54,033.66
  4. Step 4: Simplify right side
    97,054.17x = 7,236,843,715.83
  5. Step 5: Solve for x
    x = 7,236,843,715.83/97,054.17
  6. Step 6: Final answer
    x = 74,565.00

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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.