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Finding the Fourth Proportional to 62,047.50, 93,102 and 24,606.75

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Solution

The fourth proportional to 62,047.50, 93,102 and 24,606.75 is: 36,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,047.50 : 93,102 = 24,606.75 : x
  2. Step 2: Convert to fraction form
    62,047.50/93,102 = 24,606.75/x
  3. Step 3: Cross multiply
    62,047.50x = 93,102 × 24,606.75
  4. Step 4: Simplify right side
    62,047.50x = 2,290,937,638.50
  5. Step 5: Solve for x
    x = 2,290,937,638.50/62,047.50
  6. Step 6: Final answer
    x = 36,922.32

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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.