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Finding the Fourth Proportional to 85,305, 117,715.56 and 47,065

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Solution

The fourth proportional to 85,305, 117,715.56 and 47,065 is: 64,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,305 : 117,715.56 = 47,065 : x
  2. Step 2: Convert to fraction form
    85,305/117,715.56 = 47,065/x
  3. Step 3: Cross multiply
    85,305x = 117,715.56 × 47,065
  4. Step 4: Simplify right side
    85,305x = 5,540,282,831.40
  5. Step 5: Solve for x
    x = 5,540,282,831.40/85,305
  6. Step 6: Final answer
    x = 64,946.75

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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.