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Finding the Fourth Proportional to 75,196, 112,718.94 and 37,641.43

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Solution

The fourth proportional to 75,196, 112,718.94 and 37,641.43 is: 56,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196 : 112,718.94 = 37,641.43 : x
  2. Step 2: Convert to fraction form
    75,196/112,718.94 = 37,641.43/x
  3. Step 3: Cross multiply
    75,196x = 112,718.94 × 37,641.43
  4. Step 4: Simplify right side
    75,196x = 4,242,902,089.68
  5. Step 5: Solve for x
    x = 4,242,902,089.68/75,196
  6. Step 6: Final answer
    x = 56,424.57

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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.