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Finding the Fourth Proportional to 32,809.86, 45,267.93 and 19,382.22

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Solution

The fourth proportional to 32,809.86, 45,267.93 and 19,382.22 is: 26,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.86 : 45,267.93 = 19,382.22 : x
  2. Step 2: Convert to fraction form
    32,809.86/45,267.93 = 19,382.22/x
  3. Step 3: Cross multiply
    32,809.86x = 45,267.93 × 19,382.22
  4. Step 4: Simplify right side
    32,809.86x = 877,392,978.20
  5. Step 5: Solve for x
    x = 877,392,978.20/32,809.86
  6. Step 6: Final answer
    x = 26,741.75

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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.