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Finding the Fourth Proportional to 34,278, 47,303.64 and 19,374

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Solution

The fourth proportional to 34,278, 47,303.64 and 19,374 is: 26,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278 : 47,303.64 = 19,374 : x
  2. Step 2: Convert to fraction form
    34,278/47,303.64 = 19,374/x
  3. Step 3: Cross multiply
    34,278x = 47,303.64 × 19,374
  4. Step 4: Simplify right side
    34,278x = 916,460,721.36
  5. Step 5: Solve for x
    x = 916,460,721.36/34,278
  6. Step 6: Final answer
    x = 26,736.12

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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.