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Finding the Fourth Proportional to 82,678.50, 114,097.14 and 44,953.56

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Solution

The fourth proportional to 82,678.50, 114,097.14 and 44,953.56 is: 62,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,678.50 : 114,097.14 = 44,953.56 : x
  2. Step 2: Convert to fraction form
    82,678.50/114,097.14 = 44,953.56/x
  3. Step 3: Cross multiply
    82,678.50x = 114,097.14 × 44,953.56
  4. Step 4: Simplify right side
    82,678.50x = 5,129,072,628.82
  5. Step 5: Solve for x
    x = 5,129,072,628.82/82,678.50
  6. Step 6: Final answer
    x = 62,036.35

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1.5x scale

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.