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Finding the Fourth Proportional to 34,374, 47,436.12 and 19,470

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Solution

The fourth proportional to 34,374, 47,436.12 and 19,470 is: 26,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,374 : 47,436.12 = 19,470 : x
  2. Step 2: Convert to fraction form
    34,374/47,436.12 = 19,470/x
  3. Step 3: Cross multiply
    34,374x = 47,436.12 × 19,470
  4. Step 4: Simplify right side
    34,374x = 923,581,256.40
  5. Step 5: Solve for x
    x = 923,581,256.40/34,374
  6. Step 6: Final answer
    x = 26,868.60

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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.