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Finding the Fourth Proportional to 85,433.76, 117,898.12 and 47,195.94

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Solution

The fourth proportional to 85,433.76, 117,898.12 and 47,195.94 is: 65,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.76 : 117,898.12 = 47,195.94 : x
  2. Step 2: Convert to fraction form
    85,433.76/117,898.12 = 47,195.94/x
  3. Step 3: Cross multiply
    85,433.76x = 117,898.12 × 47,195.94
  4. Step 4: Simplify right side
    85,433.76x = 5,564,312,597.63
  5. Step 5: Solve for x
    x = 5,564,312,597.63/85,433.76
  6. Step 6: Final answer
    x = 65,130.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.