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Finding the Fourth Proportional to 32,548.93, 48,823.03 and 7,924.93

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Solution

The fourth proportional to 32,548.93, 48,823.03 and 7,924.93 is: 11,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.93 : 48,823.03 = 7,924.93 : x
  2. Step 2: Convert to fraction form
    32,548.93/48,823.03 = 7,924.93/x
  3. Step 3: Cross multiply
    32,548.93x = 48,823.03 × 7,924.93
  4. Step 4: Simplify right side
    32,548.93x = 386,919,095.14
  5. Step 5: Solve for x
    x = 386,919,095.14/32,548.93
  6. Step 6: Final answer
    x = 11,887.31

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1.5x scale

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.