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Finding the Fourth Proportional to 109,378.48, 164,075.76 and 39,258.40

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Solution

The fourth proportional to 109,378.48, 164,075.76 and 39,258.40 is: 58,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,378.48 : 164,075.76 = 39,258.40 : x
  2. Step 2: Convert to fraction form
    109,378.48/164,075.76 = 39,258.40/x
  3. Step 3: Cross multiply
    109,378.48x = 164,075.76 × 39,258.40
  4. Step 4: Simplify right side
    109,378.48x = 6,441,351,816.38
  5. Step 5: Solve for x
    x = 6,441,351,816.38/109,378.48
  6. Step 6: Final answer
    x = 58,890.49

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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.