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Finding the Fourth Proportional to 83,483.84, 125,194.62 and 33,547.04

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Solution

The fourth proportional to 83,483.84, 125,194.62 and 33,547.04 is: 50,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,483.84 : 125,194.62 = 33,547.04 : x
  2. Step 2: Convert to fraction form
    83,483.84/125,194.62 = 33,547.04/x
  3. Step 3: Cross multiply
    83,483.84x = 125,194.62 × 33,547.04
  4. Step 4: Simplify right side
    83,483.84x = 4,199,908,894.23
  5. Step 5: Solve for x
    x = 4,199,908,894.23/83,483.84
  6. Step 6: Final answer
    x = 50,308.04

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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.