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Finding the Fourth Proportional to 70,567.88, 105,829.94 and 23,809.82

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Solution

The fourth proportional to 70,567.88, 105,829.94 and 23,809.82 is: 35,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,567.88 : 105,829.94 = 23,809.82 : x
  2. Step 2: Convert to fraction form
    70,567.88/105,829.94 = 23,809.82/x
  3. Step 3: Cross multiply
    70,567.88x = 105,829.94 × 23,809.82
  4. Step 4: Simplify right side
    70,567.88x = 2,519,791,822.01
  5. Step 5: Solve for x
    x = 2,519,791,822.01/70,567.88
  6. Step 6: Final answer
    x = 35,707.35

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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.