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Finding the Fourth Proportional to 32,020.29, 48,030.39 and 8,646.69

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Solution

The fourth proportional to 32,020.29, 48,030.39 and 8,646.69 is: 12,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.29 : 48,030.39 = 8,646.69 : x
  2. Step 2: Convert to fraction form
    32,020.29/48,030.39 = 8,646.69/x
  3. Step 3: Cross multiply
    32,020.29x = 48,030.39 × 8,646.69
  4. Step 4: Simplify right side
    32,020.29x = 415,303,892.91
  5. Step 5: Solve for x
    x = 415,303,892.91/32,020.29
  6. Step 6: Final answer
    x = 12,970.02

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