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Finding the Fourth Proportional to 77,409.60, 115,941.60 and 59,822.40

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Solution

The fourth proportional to 77,409.60, 115,941.60 and 59,822.40 is: 89,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.60 : 115,941.60 = 59,822.40 : x
  2. Step 2: Convert to fraction form
    77,409.60/115,941.60 = 59,822.40/x
  3. Step 3: Cross multiply
    77,409.60x = 115,941.60 × 59,822.40
  4. Step 4: Simplify right side
    77,409.60x = 6,935,904,771.84
  5. Step 5: Solve for x
    x = 6,935,904,771.84/77,409.60
  6. Step 6: Final answer
    x = 89,600.06

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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.