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Finding the Fourth Proportional to 82,764, 114,214.32 and 45,038.25

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Solution

The fourth proportional to 82,764, 114,214.32 and 45,038.25 is: 62,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 114,214.32 = 45,038.25 : x
  2. Step 2: Convert to fraction form
    82,764/114,214.32 = 45,038.25/x
  3. Step 3: Cross multiply
    82,764x = 114,214.32 × 45,038.25
  4. Step 4: Simplify right side
    82,764x = 5,144,013,097.74
  5. Step 5: Solve for x
    x = 5,144,013,097.74/82,764
  6. Step 6: Final answer
    x = 62,152.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.