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Finding the Fourth Proportional to 101,584.01, 152,390.28 and 42,406.22

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Solution

The fourth proportional to 101,584.01, 152,390.28 and 42,406.22 is: 63,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.01 : 152,390.28 = 42,406.22 : x
  2. Step 2: Convert to fraction form
    101,584.01/152,390.28 = 42,406.22/x
  3. Step 3: Cross multiply
    101,584.01x = 152,390.28 × 42,406.22
  4. Step 4: Simplify right side
    101,584.01x = 6,462,294,977.59
  5. Step 5: Solve for x
    x = 6,462,294,977.59/101,584.01
  6. Step 6: Final answer
    x = 63,615.28

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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.