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Finding the Fourth Proportional to 77,672, 116,498.08 and 25,076

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Solution

The fourth proportional to 77,672, 116,498.08 and 25,076 is: 37,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672 : 116,498.08 = 25,076 : x
  2. Step 2: Convert to fraction form
    77,672/116,498.08 = 25,076/x
  3. Step 3: Cross multiply
    77,672x = 116,498.08 × 25,076
  4. Step 4: Simplify right side
    77,672x = 2,921,305,854.08
  5. Step 5: Solve for x
    x = 2,921,305,854.08/77,672
  6. Step 6: Final answer
    x = 37,610.80

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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.