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Finding the Fourth Proportional to 110,570.80, 165,823.80 and 39,485.20

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Solution

The fourth proportional to 110,570.80, 165,823.80 and 39,485.20 is: 59,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,570.80 : 165,823.80 = 39,485.20 : x
  2. Step 2: Convert to fraction form
    110,570.80/165,823.80 = 39,485.20/x
  3. Step 3: Cross multiply
    110,570.80x = 165,823.80 × 39,485.20
  4. Step 4: Simplify right side
    110,570.80x = 6,547,585,907.76
  5. Step 5: Solve for x
    x = 6,547,585,907.76/110,570.80
  6. Step 6: Final answer
    x = 59,216.23

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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.