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Finding the Fourth Proportional to 77,350.76, 116,024.86 and 32,953.96

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Solution

The fourth proportional to 77,350.76, 116,024.86 and 32,953.96 is: 49,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,350.76 : 116,024.86 = 32,953.96 : x
  2. Step 2: Convert to fraction form
    77,350.76/116,024.86 = 32,953.96/x
  3. Step 3: Cross multiply
    77,350.76x = 116,024.86 × 32,953.96
  4. Step 4: Simplify right side
    77,350.76x = 3,823,478,595.45
  5. Step 5: Solve for x
    x = 3,823,478,595.45/77,350.76
  6. Step 6: Final answer
    x = 49,430.39

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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.