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Finding the Fourth Proportional to 32,852.08, 49,277.16 and 12,070

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Solution

The fourth proportional to 32,852.08, 49,277.16 and 12,070 is: 18,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.08 : 49,277.16 = 12,070 : x
  2. Step 2: Convert to fraction form
    32,852.08/49,277.16 = 12,070/x
  3. Step 3: Cross multiply
    32,852.08x = 49,277.16 × 12,070
  4. Step 4: Simplify right side
    32,852.08x = 594,775,321.20
  5. Step 5: Solve for x
    x = 594,775,321.20/32,852.08
  6. Step 6: Final answer
    x = 18,104.65

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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.