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Finding the Fourth Proportional to 34,526.84, 47,648.45 and 19,420.20

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Solution

The fourth proportional to 34,526.84, 47,648.45 and 19,420.20 is: 26,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,526.84 : 47,648.45 = 19,420.20 : x
  2. Step 2: Convert to fraction form
    34,526.84/47,648.45 = 19,420.20/x
  3. Step 3: Cross multiply
    34,526.84x = 47,648.45 × 19,420.20
  4. Step 4: Simplify right side
    34,526.84x = 925,342,477.24
  5. Step 5: Solve for x
    x = 925,342,477.24/34,526.84
  6. Step 6: Final answer
    x = 26,800.67

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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.