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Finding the Fourth Proportional to 65,354.32, 98,046.06 and 35,368.12

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Solution

The fourth proportional to 65,354.32, 98,046.06 and 35,368.12 is: 53,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.32 : 98,046.06 = 35,368.12 : x
  2. Step 2: Convert to fraction form
    65,354.32/98,046.06 = 35,368.12/x
  3. Step 3: Cross multiply
    65,354.32x = 98,046.06 × 35,368.12
  4. Step 4: Simplify right side
    65,354.32x = 3,467,704,815.61
  5. Step 5: Solve for x
    x = 3,467,704,815.61/65,354.32
  6. Step 6: Final answer
    x = 53,060.07

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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.