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Finding the Fourth Proportional to 32,582.48, 48,877.95 and 9,209.48

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Solution

The fourth proportional to 32,582.48, 48,877.95 and 9,209.48 is: 13,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.48 : 48,877.95 = 9,209.48 : x
  2. Step 2: Convert to fraction form
    32,582.48/48,877.95 = 9,209.48/x
  3. Step 3: Cross multiply
    32,582.48x = 48,877.95 × 9,209.48
  4. Step 4: Simplify right side
    32,582.48x = 450,140,502.97
  5. Step 5: Solve for x
    x = 450,140,502.97/32,582.48
  6. Step 6: Final answer
    x = 13,815.42

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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.