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Finding the Fourth Proportional to 68,683.86, 94,795.16 and 47,156.00

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Solution

The fourth proportional to 68,683.86, 94,795.16 and 47,156.00 is: 65,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,683.86 : 94,795.16 = 47,156.00 : x
  2. Step 2: Convert to fraction form
    68,683.86/94,795.16 = 47,156.00/x
  3. Step 3: Cross multiply
    68,683.86x = 94,795.16 × 47,156.00
  4. Step 4: Simplify right side
    68,683.86x = 4,470,159,855.20
  5. Step 5: Solve for x
    x = 4,470,159,855.20/68,683.86
  6. Step 6: Final answer
    x = 65,083.12

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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.