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Finding the Fourth Proportional to 49,955.60, 74,922.60 and 21,875.60

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Solution

The fourth proportional to 49,955.60, 74,922.60 and 21,875.60 is: 32,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,955.60 : 74,922.60 = 21,875.60 : x
  2. Step 2: Convert to fraction form
    49,955.60/74,922.60 = 21,875.60/x
  3. Step 3: Cross multiply
    49,955.60x = 74,922.60 × 21,875.60
  4. Step 4: Simplify right side
    49,955.60x = 1,638,976,828.56
  5. Step 5: Solve for x
    x = 1,638,976,828.56/49,955.60
  6. Step 6: Final answer
    x = 32,808.67

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Why These Related Problems?

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