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Finding the Fourth Proportional to 110,543.32, 165,814.30 and 31,657.56

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Solution

The fourth proportional to 110,543.32, 165,814.30 and 31,657.56 is: 47,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,543.32 : 165,814.30 = 31,657.56 : x
  2. Step 2: Convert to fraction form
    110,543.32/165,814.30 = 31,657.56/x
  3. Step 3: Cross multiply
    110,543.32x = 165,814.30 × 31,657.56
  4. Step 4: Simplify right side
    110,543.32x = 5,249,276,151.11
  5. Step 5: Solve for x
    x = 5,249,276,151.11/110,543.32
  6. Step 6: Final answer
    x = 47,486.15

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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.