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Finding the Fourth Proportional to 92,465.36, 138,775.80 and 39,914.72

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Solution

The fourth proportional to 92,465.36, 138,775.80 and 39,914.72 is: 59,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,465.36 : 138,775.80 = 39,914.72 : x
  2. Step 2: Convert to fraction form
    92,465.36/138,775.80 = 39,914.72/x
  3. Step 3: Cross multiply
    92,465.36x = 138,775.80 × 39,914.72
  4. Step 4: Simplify right side
    92,465.36x = 5,539,197,199.78
  5. Step 5: Solve for x
    x = 5,539,197,199.78/92,465.36
  6. Step 6: Final answer
    x = 59,905.65

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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.