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Finding the Fourth Proportional to 102,378.90, 153,572.67 and 49,828.26

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Solution

The fourth proportional to 102,378.90, 153,572.67 and 49,828.26 is: 74,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,378.90 : 153,572.67 = 49,828.26 : x
  2. Step 2: Convert to fraction form
    102,378.90/153,572.67 = 49,828.26/x
  3. Step 3: Cross multiply
    102,378.90x = 153,572.67 × 49,828.26
  4. Step 4: Simplify right side
    102,378.90x = 7,652,258,929.65
  5. Step 5: Solve for x
    x = 7,652,258,929.65/102,378.90
  6. Step 6: Final answer
    x = 74,744.49

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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.