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Finding the Fourth Proportional to 32,160, 48,253.80 and 16,588.56

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Solution

The fourth proportional to 32,160, 48,253.80 and 16,588.56 is: 24,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 48,253.80 = 16,588.56 : x
  2. Step 2: Convert to fraction form
    32,160/48,253.80 = 16,588.56/x
  3. Step 3: Cross multiply
    32,160x = 48,253.80 × 16,588.56
  4. Step 4: Simplify right side
    32,160x = 800,461,056.53
  5. Step 5: Solve for x
    x = 800,461,056.53/32,160
  6. Step 6: Final answer
    x = 24,889.96

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Why These Related Problems?

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