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Finding the Fourth Proportional to 27,011.76, 37,277.42 and 15,075.16

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Solution

The fourth proportional to 27,011.76, 37,277.42 and 15,075.16 is: 20,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011.76 : 37,277.42 = 15,075.16 : x
  2. Step 2: Convert to fraction form
    27,011.76/37,277.42 = 15,075.16/x
  3. Step 3: Cross multiply
    27,011.76x = 37,277.42 × 15,075.16
  4. Step 4: Simplify right side
    27,011.76x = 561,963,070.89
  5. Step 5: Solve for x
    x = 561,963,070.89/27,011.76
  6. Step 6: Final answer
    x = 20,804.39

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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.