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Finding the Fourth Proportional to 53,075, 79,612.14 and 13,632.14

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Solution

The fourth proportional to 53,075, 79,612.14 and 13,632.14 is: 20,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,075 : 79,612.14 = 13,632.14 : x
  2. Step 2: Convert to fraction form
    53,075/79,612.14 = 13,632.14/x
  3. Step 3: Cross multiply
    53,075x = 79,612.14 × 13,632.14
  4. Step 4: Simplify right side
    53,075x = 1,085,283,838.18
  5. Step 5: Solve for x
    x = 1,085,283,838.18/53,075
  6. Step 6: Final answer
    x = 20,448.12

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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.