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Finding the Fourth Proportional to 30,870.35, 46,278.02 and 11,144.52

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Solution

The fourth proportional to 30,870.35, 46,278.02 and 11,144.52 is: 16,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.35 : 46,278.02 = 11,144.52 : x
  2. Step 2: Convert to fraction form
    30,870.35/46,278.02 = 11,144.52/x
  3. Step 3: Cross multiply
    30,870.35x = 46,278.02 × 11,144.52
  4. Step 4: Simplify right side
    30,870.35x = 515,746,088.06
  5. Step 5: Solve for x
    x = 515,746,088.06/30,870.35
  6. Step 6: Final answer
    x = 16,706.84

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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.