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Finding the Fourth Proportional to 77,356, 116,045.07 and 29,342.26

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Solution

The fourth proportional to 77,356, 116,045.07 and 29,342.26 is: 44,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356 : 116,045.07 = 29,342.26 : x
  2. Step 2: Convert to fraction form
    77,356/116,045.07 = 29,342.26/x
  3. Step 3: Cross multiply
    77,356x = 116,045.07 × 29,342.26
  4. Step 4: Simplify right side
    77,356x = 3,405,024,615.66
  5. Step 5: Solve for x
    x = 3,405,024,615.66/77,356
  6. Step 6: Final answer
    x = 44,017.59

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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.