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Finding the Fourth Proportional to 78,254, 117,381.04 and 31,539.68

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Solution

The fourth proportional to 78,254, 117,381.04 and 31,539.68 is: 47,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,254 : 117,381.04 = 31,539.68 : x
  2. Step 2: Convert to fraction form
    78,254/117,381.04 = 31,539.68/x
  3. Step 3: Cross multiply
    78,254x = 117,381.04 × 31,539.68
  4. Step 4: Simplify right side
    78,254x = 3,702,160,439.67
  5. Step 5: Solve for x
    x = 3,702,160,439.67/78,254
  6. Step 6: Final answer
    x = 47,309.54

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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.