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Finding the Fourth Proportional to 64,154.83, 96,256.91 and 45,197.70

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Solution

The fourth proportional to 64,154.83, 96,256.91 and 45,197.70 is: 67,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154.83 : 96,256.91 = 45,197.70 : x
  2. Step 2: Convert to fraction form
    64,154.83/96,256.91 = 45,197.70/x
  3. Step 3: Cross multiply
    64,154.83x = 96,256.91 × 45,197.70
  4. Step 4: Simplify right side
    64,154.83x = 4,350,590,941.11
  5. Step 5: Solve for x
    x = 4,350,590,941.11/64,154.83
  6. Step 6: Final answer
    x = 67,813.93

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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.