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Finding the Fourth Proportional to 69,678.16, 96,185.27 and 47,047.77

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Solution

The fourth proportional to 69,678.16, 96,185.27 and 47,047.77 is: 64,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,678.16 : 96,185.27 = 47,047.77 : x
  2. Step 2: Convert to fraction form
    69,678.16/96,185.27 = 47,047.77/x
  3. Step 3: Cross multiply
    69,678.16x = 96,185.27 × 47,047.77
  4. Step 4: Simplify right side
    69,678.16x = 4,525,302,225.11
  5. Step 5: Solve for x
    x = 4,525,302,225.11/69,678.16
  6. Step 6: Final answer
    x = 64,945.78

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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.