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Finding the Fourth Proportional to 74,219, 102,422.58 and 44,411

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Solution

The fourth proportional to 74,219, 102,422.58 and 44,411 is: 61,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,219 : 102,422.58 = 44,411 : x
  2. Step 2: Convert to fraction form
    74,219/102,422.58 = 44,411/x
  3. Step 3: Cross multiply
    74,219x = 102,422.58 × 44,411
  4. Step 4: Simplify right side
    74,219x = 4,548,689,200.38
  5. Step 5: Solve for x
    x = 4,548,689,200.38/74,219
  6. Step 6: Final answer
    x = 61,287.40

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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.