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Finding the Fourth Proportional to 75,196, 112,742.16 and 37,767.52

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Solution

The fourth proportional to 75,196, 112,742.16 and 37,767.52 is: 56,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196 : 112,742.16 = 37,767.52 : x
  2. Step 2: Convert to fraction form
    75,196/112,742.16 = 37,767.52/x
  3. Step 3: Cross multiply
    75,196x = 112,742.16 × 37,767.52
  4. Step 4: Simplify right side
    75,196x = 4,257,991,782.64
  5. Step 5: Solve for x
    x = 4,257,991,782.64/75,196
  6. Step 6: Final answer
    x = 56,625.24

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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.