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Finding the Fourth Proportional to 100,527.36, 150,746.76 and 47,234.50

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Solution

The fourth proportional to 100,527.36, 150,746.76 and 47,234.50 is: 70,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.36 : 150,746.76 = 47,234.50 : x
  2. Step 2: Convert to fraction form
    100,527.36/150,746.76 = 47,234.50/x
  3. Step 3: Cross multiply
    100,527.36x = 150,746.76 × 47,234.50
  4. Step 4: Simplify right side
    100,527.36x = 7,120,447,835.22
  5. Step 5: Solve for x
    x = 7,120,447,835.22/100,527.36
  6. Step 6: Final answer
    x = 70,830.94

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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.