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Finding the Fourth Proportional to 48,130.54, 72,178.53 and 18,533.50

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Solution

The fourth proportional to 48,130.54, 72,178.53 and 18,533.50 is: 27,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130.54 : 72,178.53 = 18,533.50 : x
  2. Step 2: Convert to fraction form
    48,130.54/72,178.53 = 18,533.50/x
  3. Step 3: Cross multiply
    48,130.54x = 72,178.53 × 18,533.50
  4. Step 4: Simplify right side
    48,130.54x = 1,337,720,785.76
  5. Step 5: Solve for x
    x = 1,337,720,785.76/48,130.54
  6. Step 6: Final answer
    x = 27,793.60

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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.