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Finding the Fourth Proportional to 34,705, 47,895.78 and 19,803.88

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Solution

The fourth proportional to 34,705, 47,895.78 and 19,803.88 is: 27,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705 : 47,895.78 = 19,803.88 : x
  2. Step 2: Convert to fraction form
    34,705/47,895.78 = 19,803.88/x
  3. Step 3: Cross multiply
    34,705x = 47,895.78 × 19,803.88
  4. Step 4: Simplify right side
    34,705x = 948,522,279.63
  5. Step 5: Solve for x
    x = 948,522,279.63/34,705
  6. Step 6: Final answer
    x = 27,331.00

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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.