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Finding the Fourth Proportional to 32,005.76, 48,009.51 and 8,632.13

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Solution

The fourth proportional to 32,005.76, 48,009.51 and 8,632.13 is: 12,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.76 : 48,009.51 = 8,632.13 : x
  2. Step 2: Convert to fraction form
    32,005.76/48,009.51 = 8,632.13/x
  3. Step 3: Cross multiply
    32,005.76x = 48,009.51 × 8,632.13
  4. Step 4: Simplify right side
    32,005.76x = 414,424,091.51
  5. Step 5: Solve for x
    x = 414,424,091.51/32,005.76
  6. Step 6: Final answer
    x = 12,948.42

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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.