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Finding the Fourth Proportional to 30,291.77, 45,434.40 and 10,570.70

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Solution

The fourth proportional to 30,291.77, 45,434.40 and 10,570.70 is: 15,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.77 : 45,434.40 = 10,570.70 : x
  2. Step 2: Convert to fraction form
    30,291.77/45,434.40 = 10,570.70/x
  3. Step 3: Cross multiply
    30,291.77x = 45,434.40 × 10,570.70
  4. Step 4: Simplify right side
    30,291.77x = 480,273,184.91
  5. Step 5: Solve for x
    x = 480,273,184.91/30,291.77
  6. Step 6: Final answer
    x = 15,854.91

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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.