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Finding the Fourth Proportional to 77,594.59, 116,398.59 and 21,434.68

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Solution

The fourth proportional to 77,594.59, 116,398.59 and 21,434.68 is: 32,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,594.59 : 116,398.59 = 21,434.68 : x
  2. Step 2: Convert to fraction form
    77,594.59/116,398.59 = 21,434.68/x
  3. Step 3: Cross multiply
    77,594.59x = 116,398.59 × 21,434.68
  4. Step 4: Simplify right side
    77,594.59x = 2,494,966,529.10
  5. Step 5: Solve for x
    x = 2,494,966,529.10/77,594.59
  6. Step 6: Final answer
    x = 32,153.87

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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.