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Finding the Fourth Proportional to 74,469.64, 102,792.06 and 47,684.32

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Solution

The fourth proportional to 74,469.64, 102,792.06 and 47,684.32 is: 65,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,469.64 : 102,792.06 = 47,684.32 : x
  2. Step 2: Convert to fraction form
    74,469.64/102,792.06 = 47,684.32/x
  3. Step 3: Cross multiply
    74,469.64x = 102,792.06 × 47,684.32
  4. Step 4: Simplify right side
    74,469.64x = 4,901,569,482.50
  5. Step 5: Solve for x
    x = 4,901,569,482.50/74,469.64
  6. Step 6: Final answer
    x = 65,819.70

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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.