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Finding the Fourth Proportional to 30,482.16, 45,711.12 and 11,751.84

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Solution

The fourth proportional to 30,482.16, 45,711.12 and 11,751.84 is: 17,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.16 : 45,711.12 = 11,751.84 : x
  2. Step 2: Convert to fraction form
    30,482.16/45,711.12 = 11,751.84/x
  3. Step 3: Cross multiply
    30,482.16x = 45,711.12 × 11,751.84
  4. Step 4: Simplify right side
    30,482.16x = 537,189,768.46
  5. Step 5: Solve for x
    x = 537,189,768.46/30,482.16
  6. Step 6: Final answer
    x = 17,623.09

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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.