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Finding the Fourth Proportional to 102,593.84, 153,959.48 and 36,034.20

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Solution

The fourth proportional to 102,593.84, 153,959.48 and 36,034.20 is: 54,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,593.84 : 153,959.48 = 36,034.20 : x
  2. Step 2: Convert to fraction form
    102,593.84/153,959.48 = 36,034.20/x
  3. Step 3: Cross multiply
    102,593.84x = 153,959.48 × 36,034.20
  4. Step 4: Simplify right side
    102,593.84x = 5,547,806,694.22
  5. Step 5: Solve for x
    x = 5,547,806,694.22/102,593.84
  6. Step 6: Final answer
    x = 54,075.44

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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.