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Finding the Fourth Proportional to 30,296.33, 45,444.65 and 10,574.96

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Solution

The fourth proportional to 30,296.33, 45,444.65 and 10,574.96 is: 15,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.33 : 45,444.65 = 10,574.96 : x
  2. Step 2: Convert to fraction form
    30,296.33/45,444.65 = 10,574.96/x
  3. Step 3: Cross multiply
    30,296.33x = 45,444.65 × 10,574.96
  4. Step 4: Simplify right side
    30,296.33x = 480,575,075.87
  5. Step 5: Solve for x
    x = 480,575,075.87/30,296.33
  6. Step 6: Final answer
    x = 15,862.49

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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.