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Finding the Fourth Proportional to 38,536.84, 53,165.10 and 30,547

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Solution

The fourth proportional to 38,536.84, 53,165.10 and 30,547 is: 42,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.84 : 53,165.10 = 30,547 : x
  2. Step 2: Convert to fraction form
    38,536.84/53,165.10 = 30,547/x
  3. Step 3: Cross multiply
    38,536.84x = 53,165.10 × 30,547
  4. Step 4: Simplify right side
    38,536.84x = 1,624,034,309.70
  5. Step 5: Solve for x
    x = 1,624,034,309.70/38,536.84
  6. Step 6: Final answer
    x = 42,142.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.