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Finding the Fourth Proportional to 47,358, 65,355.46 and 26,138.63

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Solution

The fourth proportional to 47,358, 65,355.46 and 26,138.63 is: 36,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 65,355.46 = 26,138.63 : x
  2. Step 2: Convert to fraction form
    47,358/65,355.46 = 26,138.63/x
  3. Step 3: Cross multiply
    47,358x = 65,355.46 × 26,138.63
  4. Step 4: Simplify right side
    47,358x = 1,708,302,285.46
  5. Step 5: Solve for x
    x = 1,708,302,285.46/47,358
  6. Step 6: Final answer
    x = 36,072.10

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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.