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Finding the Fourth Proportional to 34,019.16, 46,946.44 and 19,872.10

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Solution

The fourth proportional to 34,019.16, 46,946.44 and 19,872.10 is: 27,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,019.16 : 46,946.44 = 19,872.10 : x
  2. Step 2: Convert to fraction form
    34,019.16/46,946.44 = 19,872.10/x
  3. Step 3: Cross multiply
    34,019.16x = 46,946.44 × 19,872.10
  4. Step 4: Simplify right side
    34,019.16x = 932,924,322.07
  5. Step 5: Solve for x
    x = 932,924,322.07/34,019.16
  6. Step 6: Final answer
    x = 27,423.50

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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.