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Finding the Fourth Proportional to 53,851.40, 80,771.40 and 14,412.50

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Solution

The fourth proportional to 53,851.40, 80,771.40 and 14,412.50 is: 21,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.40 : 80,771.40 = 14,412.50 : x
  2. Step 2: Convert to fraction form
    53,851.40/80,771.40 = 14,412.50/x
  3. Step 3: Cross multiply
    53,851.40x = 80,771.40 × 14,412.50
  4. Step 4: Simplify right side
    53,851.40x = 1,164,117,802.50
  5. Step 5: Solve for x
    x = 1,164,117,802.50/53,851.40
  6. Step 6: Final answer
    x = 21,617.22

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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.