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Finding the Fourth Proportional to 98,956.66, 148,453.53 and 32,400.40

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Solution

The fourth proportional to 98,956.66, 148,453.53 and 32,400.40 is: 48,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,956.66 : 148,453.53 = 32,400.40 : x
  2. Step 2: Convert to fraction form
    98,956.66/148,453.53 = 32,400.40/x
  3. Step 3: Cross multiply
    98,956.66x = 148,453.53 × 32,400.40
  4. Step 4: Simplify right side
    98,956.66x = 4,809,953,753.41
  5. Step 5: Solve for x
    x = 4,809,953,753.41/98,956.66
  6. Step 6: Final answer
    x = 48,606.67

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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.