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Finding the Fourth Proportional to 110,275.76, 165,388.80 and 31,388.24

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Solution

The fourth proportional to 110,275.76, 165,388.80 and 31,388.24 is: 47,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,275.76 : 165,388.80 = 31,388.24 : x
  2. Step 2: Convert to fraction form
    110,275.76/165,388.80 = 31,388.24/x
  3. Step 3: Cross multiply
    110,275.76x = 165,388.80 × 31,388.24
  4. Step 4: Simplify right side
    110,275.76x = 5,191,263,347.71
  5. Step 5: Solve for x
    x = 5,191,263,347.71/110,275.76
  6. Step 6: Final answer
    x = 47,075.29

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1.5x scale

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.