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Finding the Fourth Proportional to 82,528.73, 113,889.76 and 44,802.98

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Solution

The fourth proportional to 82,528.73, 113,889.76 and 44,802.98 is: 61,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,528.73 : 113,889.76 = 44,802.98 : x
  2. Step 2: Convert to fraction form
    82,528.73/113,889.76 = 44,802.98/x
  3. Step 3: Cross multiply
    82,528.73x = 113,889.76 × 44,802.98
  4. Step 4: Simplify right side
    82,528.73x = 5,102,600,639.48
  5. Step 5: Solve for x
    x = 5,102,600,639.48/82,528.73
  6. Step 6: Final answer
    x = 61,828.17

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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.