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Finding the Fourth Proportional to 32,853.36, 49,280.06 and 10,666.76

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Solution

The fourth proportional to 32,853.36, 49,280.06 and 10,666.76 is: 16,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.36 : 49,280.06 = 10,666.76 : x
  2. Step 2: Convert to fraction form
    32,853.36/49,280.06 = 10,666.76/x
  3. Step 3: Cross multiply
    32,853.36x = 49,280.06 × 10,666.76
  4. Step 4: Simplify right side
    32,853.36x = 525,658,572.81
  5. Step 5: Solve for x
    x = 525,658,572.81/32,853.36
  6. Step 6: Final answer
    x = 16,000.15

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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.