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Finding the Fourth Proportional to 47,657.77, 65,770.84 and 27,515.50

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Solution

The fourth proportional to 47,657.77, 65,770.84 and 27,515.50 is: 37,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.77 : 65,770.84 = 27,515.50 : x
  2. Step 2: Convert to fraction form
    47,657.77/65,770.84 = 27,515.50/x
  3. Step 3: Cross multiply
    47,657.77x = 65,770.84 × 27,515.50
  4. Step 4: Simplify right side
    47,657.77x = 1,809,717,263.21
  5. Step 5: Solve for x
    x = 1,809,717,263.21/47,657.77
  6. Step 6: Final answer
    x = 37,973.19

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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.