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Finding the Fourth Proportional to 77,518, 116,277.90 and 24,927.40

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Solution

The fourth proportional to 77,518, 116,277.90 and 24,927.40 is: 37,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,518 : 116,277.90 = 24,927.40 : x
  2. Step 2: Convert to fraction form
    77,518/116,277.90 = 24,927.40/x
  3. Step 3: Cross multiply
    77,518x = 116,277.90 × 24,927.40
  4. Step 4: Simplify right side
    77,518x = 2,898,505,724.46
  5. Step 5: Solve for x
    x = 2,898,505,724.46/77,518
  6. Step 6: Final answer
    x = 37,391.39

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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.