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Finding the Fourth Proportional to 74,218, 102,421.20 and 44,410

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Solution

The fourth proportional to 74,218, 102,421.20 and 44,410 is: 61,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,218 : 102,421.20 = 44,410 : x
  2. Step 2: Convert to fraction form
    74,218/102,421.20 = 44,410/x
  3. Step 3: Cross multiply
    74,218x = 102,421.20 × 44,410
  4. Step 4: Simplify right side
    74,218x = 4,548,525,492
  5. Step 5: Solve for x
    x = 4,548,525,492/74,218
  6. Step 6: Final answer
    x = 61,286.02

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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.