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Finding the Fourth Proportional to 32,500.41, 48,752.36 and 9,128.67

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Solution

The fourth proportional to 32,500.41, 48,752.36 and 9,128.67 is: 13,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.41 : 48,752.36 = 9,128.67 : x
  2. Step 2: Convert to fraction form
    32,500.41/48,752.36 = 9,128.67/x
  3. Step 3: Cross multiply
    32,500.41x = 48,752.36 × 9,128.67
  4. Step 4: Simplify right side
    32,500.41x = 445,044,206.16
  5. Step 5: Solve for x
    x = 445,044,206.16/32,500.41
  6. Step 6: Final answer
    x = 13,693.50

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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.