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Finding the Fourth Proportional to 38,278.84, 57,434.94 and 14,897.16

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Solution

The fourth proportional to 38,278.84, 57,434.94 and 14,897.16 is: 22,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.84 : 57,434.94 = 14,897.16 : x
  2. Step 2: Convert to fraction form
    38,278.84/57,434.94 = 14,897.16/x
  3. Step 3: Cross multiply
    38,278.84x = 57,434.94 × 14,897.16
  4. Step 4: Simplify right side
    38,278.84x = 855,617,490.77
  5. Step 5: Solve for x
    x = 855,617,490.77/38,278.84
  6. Step 6: Final answer
    x = 22,352.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.