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Finding the Fourth Proportional to 104,642.01, 156,963.04 and 30,770.01

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Solution

The fourth proportional to 104,642.01, 156,963.04 and 30,770.01 is: 46,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,642.01 : 156,963.04 = 30,770.01 : x
  2. Step 2: Convert to fraction form
    104,642.01/156,963.04 = 30,770.01/x
  3. Step 3: Cross multiply
    104,642.01x = 156,963.04 × 30,770.01
  4. Step 4: Simplify right side
    104,642.01x = 4,829,754,233.51
  5. Step 5: Solve for x
    x = 4,829,754,233.51/104,642.01
  6. Step 6: Final answer
    x = 46,155.02

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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.