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Finding the Fourth Proportional to 105,763.79, 158,646.23 and 35,643.71

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Solution

The fourth proportional to 105,763.79, 158,646.23 and 35,643.71 is: 53,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763.79 : 158,646.23 = 35,643.71 : x
  2. Step 2: Convert to fraction form
    105,763.79/158,646.23 = 35,643.71/x
  3. Step 3: Cross multiply
    105,763.79x = 158,646.23 × 35,643.71
  4. Step 4: Simplify right side
    105,763.79x = 5,654,739,243.26
  5. Step 5: Solve for x
    x = 5,654,739,243.26/105,763.79
  6. Step 6: Final answer
    x = 53,465.74

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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.