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Finding the Fourth Proportional to 32,585, 48,877.50 and 11,808.50

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Solution

The fourth proportional to 32,585, 48,877.50 and 11,808.50 is: 17,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585 : 48,877.50 = 11,808.50 : x
  2. Step 2: Convert to fraction form
    32,585/48,877.50 = 11,808.50/x
  3. Step 3: Cross multiply
    32,585x = 48,877.50 × 11,808.50
  4. Step 4: Simplify right side
    32,585x = 577,169,958.75
  5. Step 5: Solve for x
    x = 577,169,958.75/32,585
  6. Step 6: Final answer
    x = 17,712.75

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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.