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Finding the Fourth Proportional to 71,854.96, 107,795.40 and 32,430.64

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Solution

The fourth proportional to 71,854.96, 107,795.40 and 32,430.64 is: 48,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,854.96 : 107,795.40 = 32,430.64 : x
  2. Step 2: Convert to fraction form
    71,854.96/107,795.40 = 32,430.64/x
  3. Step 3: Cross multiply
    71,854.96x = 107,795.40 × 32,430.64
  4. Step 4: Simplify right side
    71,854.96x = 3,495,873,811.06
  5. Step 5: Solve for x
    x = 3,495,873,811.06/71,854.96
  6. Step 6: Final answer
    x = 48,651.81

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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.