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Finding the Fourth Proportional to 30,386.98, 45,585.82 and 10,391.77

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Solution

The fourth proportional to 30,386.98, 45,585.82 and 10,391.77 is: 15,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.98 : 45,585.82 = 10,391.77 : x
  2. Step 2: Convert to fraction form
    30,386.98/45,585.82 = 10,391.77/x
  3. Step 3: Cross multiply
    30,386.98x = 45,585.82 × 10,391.77
  4. Step 4: Simplify right side
    30,386.98x = 473,717,356.70
  5. Step 5: Solve for x
    x = 473,717,356.70/30,386.98
  6. Step 6: Final answer
    x = 15,589.48

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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.