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Finding the Fourth Proportional to 110,509.65, 165,734.13 and 30,528.51

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Solution

The fourth proportional to 110,509.65, 165,734.13 and 30,528.51 is: 45,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.65 : 165,734.13 = 30,528.51 : x
  2. Step 2: Convert to fraction form
    110,509.65/165,734.13 = 30,528.51/x
  3. Step 3: Cross multiply
    110,509.65x = 165,734.13 × 30,528.51
  4. Step 4: Simplify right side
    110,509.65x = 5,059,616,045.05
  5. Step 5: Solve for x
    x = 5,059,616,045.05/110,509.65
  6. Step 6: Final answer
    x = 45,784.38

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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.