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Finding the Fourth Proportional to 74,184, 102,373.92 and 40,649.28

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Solution

The fourth proportional to 74,184, 102,373.92 and 40,649.28 is: 56,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184 : 102,373.92 = 40,649.28 : x
  2. Step 2: Convert to fraction form
    74,184/102,373.92 = 40,649.28/x
  3. Step 3: Cross multiply
    74,184x = 102,373.92 × 40,649.28
  4. Step 4: Simplify right side
    74,184x = 4,161,426,138.78
  5. Step 5: Solve for x
    x = 4,161,426,138.78/74,184
  6. Step 6: Final answer
    x = 56,096.01

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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.