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Finding the Fourth Proportional to 98,828.60, 148,242.90 and 24,956.60

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Solution

The fourth proportional to 98,828.60, 148,242.90 and 24,956.60 is: 37,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,828.60 : 148,242.90 = 24,956.60 : x
  2. Step 2: Convert to fraction form
    98,828.60/148,242.90 = 24,956.60/x
  3. Step 3: Cross multiply
    98,828.60x = 148,242.90 × 24,956.60
  4. Step 4: Simplify right side
    98,828.60x = 3,699,638,758.14
  5. Step 5: Solve for x
    x = 3,699,638,758.14/98,828.60
  6. Step 6: Final answer
    x = 37,434.90

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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.