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Finding the Fourth Proportional to 27,075.16, 40,592.16 and 18,733

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Solution

The fourth proportional to 27,075.16, 40,592.16 and 18,733 is: 28,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075.16 : 40,592.16 = 18,733 : x
  2. Step 2: Convert to fraction form
    27,075.16/40,592.16 = 18,733/x
  3. Step 3: Cross multiply
    27,075.16x = 40,592.16 × 18,733
  4. Step 4: Simplify right side
    27,075.16x = 760,412,933.28
  5. Step 5: Solve for x
    x = 760,412,933.28/27,075.16
  6. Step 6: Final answer
    x = 28,085.26

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