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Finding the Fourth Proportional to 74,459.81, 102,754.53 and 40,468.37

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Solution

The fourth proportional to 74,459.81, 102,754.53 and 40,468.37 is: 55,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,459.81 : 102,754.53 = 40,468.37 : x
  2. Step 2: Convert to fraction form
    74,459.81/102,754.53 = 40,468.37/x
  3. Step 3: Cross multiply
    74,459.81x = 102,754.53 × 40,468.37
  4. Step 4: Simplify right side
    74,459.81x = 4,158,308,339.22
  5. Step 5: Solve for x
    x = 4,158,308,339.22/74,459.81
  6. Step 6: Final answer
    x = 55,846.35

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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.