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Finding the Fourth Proportional to 32,353.88, 48,530.81 and 10,465.88

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Solution

The fourth proportional to 32,353.88, 48,530.81 and 10,465.88 is: 15,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.88 : 48,530.81 = 10,465.88 : x
  2. Step 2: Convert to fraction form
    32,353.88/48,530.81 = 10,465.88/x
  3. Step 3: Cross multiply
    32,353.88x = 48,530.81 × 10,465.88
  4. Step 4: Simplify right side
    32,353.88x = 507,917,417.27
  5. Step 5: Solve for x
    x = 507,917,417.27/32,353.88
  6. Step 6: Final answer
    x = 15,698.81

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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.