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Finding the Fourth Proportional to 32,875.36, 49,308.18 and 12,094

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Solution

The fourth proportional to 32,875.36, 49,308.18 and 12,094 is: 18,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.36 : 49,308.18 = 12,094 : x
  2. Step 2: Convert to fraction form
    32,875.36/49,308.18 = 12,094/x
  3. Step 3: Cross multiply
    32,875.36x = 49,308.18 × 12,094
  4. Step 4: Simplify right side
    32,875.36x = 596,333,128.92
  5. Step 5: Solve for x
    x = 596,333,128.92/32,875.36
  6. Step 6: Final answer
    x = 18,139.21

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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.