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Finding the Fourth Proportional to 34,983, 52,483.38 and 10,359

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Solution

The fourth proportional to 34,983, 52,483.38 and 10,359 is: 15,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,983 : 52,483.38 = 10,359 : x
  2. Step 2: Convert to fraction form
    34,983/52,483.38 = 10,359/x
  3. Step 3: Cross multiply
    34,983x = 52,483.38 × 10,359
  4. Step 4: Simplify right side
    34,983x = 543,675,333.42
  5. Step 5: Solve for x
    x = 543,675,333.42/34,983
  6. Step 6: Final answer
    x = 15,541.13

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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.