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Finding the Fourth Proportional to 32,526.64, 48,756.48 and 12,797.20

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Solution

The fourth proportional to 32,526.64, 48,756.48 and 12,797.20 is: 19,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.64 : 48,756.48 = 12,797.20 : x
  2. Step 2: Convert to fraction form
    32,526.64/48,756.48 = 12,797.20/x
  3. Step 3: Cross multiply
    32,526.64x = 48,756.48 × 12,797.20
  4. Step 4: Simplify right side
    32,526.64x = 623,946,425.86
  5. Step 5: Solve for x
    x = 623,946,425.86/32,526.64
  6. Step 6: Final answer
    x = 19,182.63

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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.