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Finding the Fourth Proportional to 30,075.71, 45,078.66 and 11,343.74

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Solution

The fourth proportional to 30,075.71, 45,078.66 and 11,343.74 is: 17,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.71 : 45,078.66 = 11,343.74 : x
  2. Step 2: Convert to fraction form
    30,075.71/45,078.66 = 11,343.74/x
  3. Step 3: Cross multiply
    30,075.71x = 45,078.66 × 11,343.74
  4. Step 4: Simplify right side
    30,075.71x = 511,360,373.20
  5. Step 5: Solve for x
    x = 511,360,373.20/30,075.71
  6. Step 6: Final answer
    x = 17,002.44

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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.