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Finding the Fourth Proportional to 34,482, 47,585.22 and 19,578

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Solution

The fourth proportional to 34,482, 47,585.22 and 19,578 is: 27,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,482 : 47,585.22 = 19,578 : x
  2. Step 2: Convert to fraction form
    34,482/47,585.22 = 19,578/x
  3. Step 3: Cross multiply
    34,482x = 47,585.22 × 19,578
  4. Step 4: Simplify right side
    34,482x = 931,623,437.16
  5. Step 5: Solve for x
    x = 931,623,437.16/34,482
  6. Step 6: Final answer
    x = 27,017.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.