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Finding the Fourth Proportional to 32,705.84, 49,054.08 and 10,516.40

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Solution

The fourth proportional to 32,705.84, 49,054.08 and 10,516.40 is: 15,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.84 : 49,054.08 = 10,516.40 : x
  2. Step 2: Convert to fraction form
    32,705.84/49,054.08 = 10,516.40/x
  3. Step 3: Cross multiply
    32,705.84x = 49,054.08 × 10,516.40
  4. Step 4: Simplify right side
    32,705.84x = 515,872,326.91
  5. Step 5: Solve for x
    x = 515,872,326.91/32,705.84
  6. Step 6: Final answer
    x = 15,773.10

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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.