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Finding the Fourth Proportional to 74,030.94, 102,165.16 and 40,496.94

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Solution

The fourth proportional to 74,030.94, 102,165.16 and 40,496.94 is: 55,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,030.94 : 102,165.16 = 40,496.94 : x
  2. Step 2: Convert to fraction form
    74,030.94/102,165.16 = 40,496.94/x
  3. Step 3: Cross multiply
    74,030.94x = 102,165.16 × 40,496.94
  4. Step 4: Simplify right side
    74,030.94x = 4,137,376,354.61
  5. Step 5: Solve for x
    x = 4,137,376,354.61/74,030.94
  6. Step 6: Final answer
    x = 55,887.12

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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.