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Finding the Fourth Proportional to 83,547.65, 125,244.72 and 36,133.08

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Solution

The fourth proportional to 83,547.65, 125,244.72 and 36,133.08 is: 54,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.65 : 125,244.72 = 36,133.08 : x
  2. Step 2: Convert to fraction form
    83,547.65/125,244.72 = 36,133.08/x
  3. Step 3: Cross multiply
    83,547.65x = 125,244.72 × 36,133.08
  4. Step 4: Simplify right side
    83,547.65x = 4,525,477,487.34
  5. Step 5: Solve for x
    x = 4,525,477,487.34/83,547.65
  6. Step 6: Final answer
    x = 54,166.43

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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.