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Finding the Fourth Proportional to 123,955.76, 185,944.44 and 35,210

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Solution

The fourth proportional to 123,955.76, 185,944.44 and 35,210 is: 52,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,955.76 : 185,944.44 = 35,210 : x
  2. Step 2: Convert to fraction form
    123,955.76/185,944.44 = 35,210/x
  3. Step 3: Cross multiply
    123,955.76x = 185,944.44 × 35,210
  4. Step 4: Simplify right side
    123,955.76x = 6,547,103,732.40
  5. Step 5: Solve for x
    x = 6,547,103,732.40/123,955.76
  6. Step 6: Final answer
    x = 52,818.07

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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.