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Finding the Fourth Proportional to 70,509.94, 105,765.28 and 23,763.22

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Solution

The fourth proportional to 70,509.94, 105,765.28 and 23,763.22 is: 35,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.94 : 105,765.28 = 23,763.22 : x
  2. Step 2: Convert to fraction form
    70,509.94/105,765.28 = 23,763.22/x
  3. Step 3: Cross multiply
    70,509.94x = 105,765.28 × 23,763.22
  4. Step 4: Simplify right side
    70,509.94x = 2,513,323,498.19
  5. Step 5: Solve for x
    x = 2,513,323,498.19/70,509.94
  6. Step 6: Final answer
    x = 35,644.95

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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.