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Finding the Fourth Proportional to 53,437.76, 73,739.04 and 31,077.44

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Solution

The fourth proportional to 53,437.76, 73,739.04 and 31,077.44 is: 42,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,437.76 : 73,739.04 = 31,077.44 : x
  2. Step 2: Convert to fraction form
    53,437.76/73,739.04 = 31,077.44/x
  3. Step 3: Cross multiply
    53,437.76x = 73,739.04 × 31,077.44
  4. Step 4: Simplify right side
    53,437.76x = 2,291,620,591.26
  5. Step 5: Solve for x
    x = 2,291,620,591.26/53,437.76
  6. Step 6: Final answer
    x = 42,883.92

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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.