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Finding the Fourth Proportional to 53,416.89, 80,129.89 and 13,973.94

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Solution

The fourth proportional to 53,416.89, 80,129.89 and 13,973.94 is: 20,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,416.89 : 80,129.89 = 13,973.94 : x
  2. Step 2: Convert to fraction form
    53,416.89/80,129.89 = 13,973.94/x
  3. Step 3: Cross multiply
    53,416.89x = 80,129.89 × 13,973.94
  4. Step 4: Simplify right side
    53,416.89x = 1,119,730,292.53
  5. Step 5: Solve for x
    x = 1,119,730,292.53/53,416.89
  6. Step 6: Final answer
    x = 20,962.10

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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.