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Finding the Fourth Proportional to 64,820.94, 97,223.22 and 25,405.74

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Solution

The fourth proportional to 64,820.94, 97,223.22 and 25,405.74 is: 38,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820.94 : 97,223.22 = 25,405.74 : x
  2. Step 2: Convert to fraction form
    64,820.94/97,223.22 = 25,405.74/x
  3. Step 3: Cross multiply
    64,820.94x = 97,223.22 × 25,405.74
  4. Step 4: Simplify right side
    64,820.94x = 2,470,027,849.28
  5. Step 5: Solve for x
    x = 2,470,027,849.28/64,820.94
  6. Step 6: Final answer
    x = 38,105.40

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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.