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Finding the Fourth Proportional to 117,300.34, 175,962.80 and 38,420.70

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Solution

The fourth proportional to 117,300.34, 175,962.80 and 38,420.70 is: 57,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,300.34 : 175,962.80 = 38,420.70 : x
  2. Step 2: Convert to fraction form
    117,300.34/175,962.80 = 38,420.70/x
  3. Step 3: Cross multiply
    117,300.34x = 175,962.80 × 38,420.70
  4. Step 4: Simplify right side
    117,300.34x = 6,760,613,949.96
  5. Step 5: Solve for x
    x = 6,760,613,949.96/117,300.34
  6. Step 6: Final answer
    x = 57,635.08

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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.