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Finding the Fourth Proportional to 32,056.63, 48,089.49 and 9,871.81

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Solution

The fourth proportional to 32,056.63, 48,089.49 and 9,871.81 is: 14,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.63 : 48,089.49 = 9,871.81 : x
  2. Step 2: Convert to fraction form
    32,056.63/48,089.49 = 9,871.81/x
  3. Step 3: Cross multiply
    32,056.63x = 48,089.49 × 9,871.81
  4. Step 4: Simplify right side
    32,056.63x = 474,730,308.28
  5. Step 5: Solve for x
    x = 474,730,308.28/32,056.63
  6. Step 6: Final answer
    x = 14,809.11

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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.