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Finding the Fourth Proportional to 65,985.63, 98,994.84 and 19,238.50

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Solution

The fourth proportional to 65,985.63, 98,994.84 and 19,238.50 is: 28,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,985.63 : 98,994.84 = 19,238.50 : x
  2. Step 2: Convert to fraction form
    65,985.63/98,994.84 = 19,238.50/x
  3. Step 3: Cross multiply
    65,985.63x = 98,994.84 × 19,238.50
  4. Step 4: Simplify right side
    65,985.63x = 1,904,512,229.34
  5. Step 5: Solve for x
    x = 1,904,512,229.34/65,985.63
  6. Step 6: Final answer
    x = 28,862.53

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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.