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Finding the Fourth Proportional to 77,854.74, 116,798.52 and 25,260.06

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Solution

The fourth proportional to 77,854.74, 116,798.52 and 25,260.06 is: 37,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.74 : 116,798.52 = 25,260.06 : x
  2. Step 2: Convert to fraction form
    77,854.74/116,798.52 = 25,260.06/x
  3. Step 3: Cross multiply
    77,854.74x = 116,798.52 × 25,260.06
  4. Step 4: Simplify right side
    77,854.74x = 2,950,337,623.11
  5. Step 5: Solve for x
    x = 2,950,337,623.11/77,854.74
  6. Step 6: Final answer
    x = 37,895.41

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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.