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Finding the Fourth Proportional to 83,036.74, 114,590.04 and 47,226.70

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Solution

The fourth proportional to 83,036.74, 114,590.04 and 47,226.70 is: 65,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,036.74 : 114,590.04 = 47,226.70 : x
  2. Step 2: Convert to fraction form
    83,036.74/114,590.04 = 47,226.70/x
  3. Step 3: Cross multiply
    83,036.74x = 114,590.04 × 47,226.70
  4. Step 4: Simplify right side
    83,036.74x = 5,411,709,442.07
  5. Step 5: Solve for x
    x = 5,411,709,442.07/83,036.74
  6. Step 6: Final answer
    x = 65,172.47

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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.