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Finding the Fourth Proportional to 42,356.13, 63,509.90 and 12,765.21

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Solution

The fourth proportional to 42,356.13, 63,509.90 and 12,765.21 is: 19,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,356.13 : 63,509.90 = 12,765.21 : x
  2. Step 2: Convert to fraction form
    42,356.13/63,509.90 = 12,765.21/x
  3. Step 3: Cross multiply
    42,356.13x = 63,509.90 × 12,765.21
  4. Step 4: Simplify right side
    42,356.13x = 810,717,146.75
  5. Step 5: Solve for x
    x = 810,717,146.75/42,356.13
  6. Step 6: Final answer
    x = 19,140.49

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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.