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Finding the Fourth Proportional to 53,703.86, 80,554.94 and 13,177.81

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Solution

The fourth proportional to 53,703.86, 80,554.94 and 13,177.81 is: 19,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.86 : 80,554.94 = 13,177.81 : x
  2. Step 2: Convert to fraction form
    53,703.86/80,554.94 = 13,177.81/x
  3. Step 3: Cross multiply
    53,703.86x = 80,554.94 × 13,177.81
  4. Step 4: Simplify right side
    53,703.86x = 1,061,537,225.22
  5. Step 5: Solve for x
    x = 1,061,537,225.22/53,703.86
  6. Step 6: Final answer
    x = 19,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.