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Finding the Fourth Proportional to 34,643, 47,812.02 and 19,538.76

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Solution

The fourth proportional to 34,643, 47,812.02 and 19,538.76 is: 26,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643 : 47,812.02 = 19,538.76 : x
  2. Step 2: Convert to fraction form
    34,643/47,812.02 = 19,538.76/x
  3. Step 3: Cross multiply
    34,643x = 47,812.02 × 19,538.76
  4. Step 4: Simplify right side
    34,643x = 934,187,583.90
  5. Step 5: Solve for x
    x = 934,187,583.90/34,643
  6. Step 6: Final answer
    x = 26,966.13

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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.