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Finding the Fourth Proportional to 47,333, 65,312.52 and 27,190.76

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Solution

The fourth proportional to 47,333, 65,312.52 and 27,190.76 is: 37,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,333 : 65,312.52 = 27,190.76 : x
  2. Step 2: Convert to fraction form
    47,333/65,312.52 = 27,190.76/x
  3. Step 3: Cross multiply
    47,333x = 65,312.52 × 27,190.76
  4. Step 4: Simplify right side
    47,333x = 1,775,897,056.32
  5. Step 5: Solve for x
    x = 1,775,897,056.32/47,333
  6. Step 6: Final answer
    x = 37,519.22

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1.5x scale

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.