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Finding the Fourth Proportional to 82,703.61, 114,131.03 and 44,977.77

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Solution

The fourth proportional to 82,703.61, 114,131.03 and 44,977.77 is: 62,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,703.61 : 114,131.03 = 44,977.77 : x
  2. Step 2: Convert to fraction form
    82,703.61/114,131.03 = 44,977.77/x
  3. Step 3: Cross multiply
    82,703.61x = 114,131.03 × 44,977.77
  4. Step 4: Simplify right side
    82,703.61x = 5,133,358,992.31
  5. Step 5: Solve for x
    x = 5,133,358,992.31/82,703.61
  6. Step 6: Final answer
    x = 62,069.35

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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.