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Finding the Fourth Proportional to 74,223, 102,428.10 and 44,415

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Solution

The fourth proportional to 74,223, 102,428.10 and 44,415 is: 61,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,223 : 102,428.10 = 44,415 : x
  2. Step 2: Convert to fraction form
    74,223/102,428.10 = 44,415/x
  3. Step 3: Cross multiply
    74,223x = 102,428.10 × 44,415
  4. Step 4: Simplify right side
    74,223x = 4,549,344,061.50
  5. Step 5: Solve for x
    x = 4,549,344,061.50/74,223
  6. Step 6: Final answer
    x = 61,292.92

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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.