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Finding the Fourth Proportional to 32,415, 48,630.72 and 9,041.44

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Solution

The fourth proportional to 32,415, 48,630.72 and 9,041.44 is: 13,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415 : 48,630.72 = 9,041.44 : x
  2. Step 2: Convert to fraction form
    32,415/48,630.72 = 9,041.44/x
  3. Step 3: Cross multiply
    32,415x = 48,630.72 × 9,041.44
  4. Step 4: Simplify right side
    32,415x = 439,691,737.04
  5. Step 5: Solve for x
    x = 439,691,737.04/32,415
  6. Step 6: Final answer
    x = 13,564.45

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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.