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Finding the Fourth Proportional to 103,213, 154,845.52 and 29,341

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Solution

The fourth proportional to 103,213, 154,845.52 and 29,341 is: 44,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213 : 154,845.52 = 29,341 : x
  2. Step 2: Convert to fraction form
    103,213/154,845.52 = 29,341/x
  3. Step 3: Cross multiply
    103,213x = 154,845.52 × 29,341
  4. Step 4: Simplify right side
    103,213x = 4,543,322,402.32
  5. Step 5: Solve for x
    x = 4,543,322,402.32/103,213
  6. Step 6: Final answer
    x = 44,018.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.