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Finding the Fourth Proportional to 30,570.70, 45,854.16 and 10,846.66

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Solution

The fourth proportional to 30,570.70, 45,854.16 and 10,846.66 is: 16,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.70 : 45,854.16 = 10,846.66 : x
  2. Step 2: Convert to fraction form
    30,570.70/45,854.16 = 10,846.66/x
  3. Step 3: Cross multiply
    30,570.70x = 45,854.16 × 10,846.66
  4. Step 4: Simplify right side
    30,570.70x = 497,364,483.11
  5. Step 5: Solve for x
    x = 497,364,483.11/30,570.70
  6. Step 6: Final answer
    x = 16,269.32

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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.