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Finding the Fourth Proportional to 32,254, 48,293.51 and 28,268.80

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Solution

The fourth proportional to 32,254, 48,293.51 and 28,268.80 is: 42,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254 : 48,293.51 = 28,268.80 : x
  2. Step 2: Convert to fraction form
    32,254/48,293.51 = 28,268.80/x
  3. Step 3: Cross multiply
    32,254x = 48,293.51 × 28,268.80
  4. Step 4: Simplify right side
    32,254x = 1,365,199,575.49
  5. Step 5: Solve for x
    x = 1,365,199,575.49/32,254
  6. Step 6: Final answer
    x = 42,326.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.