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Finding the Fourth Proportional to 97,359.62, 134,358 and 57,102.42

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Solution

The fourth proportional to 97,359.62, 134,358 and 57,102.42 is: 78,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,359.62 : 134,358 = 57,102.42 : x
  2. Step 2: Convert to fraction form
    97,359.62/134,358 = 57,102.42/x
  3. Step 3: Cross multiply
    97,359.62x = 134,358 × 57,102.42
  4. Step 4: Simplify right side
    97,359.62x = 7,672,166,946.36
  5. Step 5: Solve for x
    x = 7,672,166,946.36/97,359.62
  6. Step 6: Final answer
    x = 78,802.35

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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.