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Finding the Fourth Proportional to 35,931.34, 54,018.66 and 28,960.30

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Solution

The fourth proportional to 35,931.34, 54,018.66 and 28,960.30 is: 43,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,931.34 : 54,018.66 = 28,960.30 : x
  2. Step 2: Convert to fraction form
    35,931.34/54,018.66 = 28,960.30/x
  3. Step 3: Cross multiply
    35,931.34x = 54,018.66 × 28,960.30
  4. Step 4: Simplify right side
    35,931.34x = 1,564,396,599.20
  5. Step 5: Solve for x
    x = 1,564,396,599.20/35,931.34
  6. Step 6: Final answer
    x = 43,538.50

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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.