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Finding the Fourth Proportional to 82,956.76, 114,482.12 and 45,231.28

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Solution

The fourth proportional to 82,956.76, 114,482.12 and 45,231.28 is: 62,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956.76 : 114,482.12 = 45,231.28 : x
  2. Step 2: Convert to fraction form
    82,956.76/114,482.12 = 45,231.28/x
  3. Step 3: Cross multiply
    82,956.76x = 114,482.12 × 45,231.28
  4. Step 4: Simplify right side
    82,956.76x = 5,178,172,824.71
  5. Step 5: Solve for x
    x = 5,178,172,824.71/82,956.76
  6. Step 6: Final answer
    x = 62,420.14

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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.