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Finding the Fourth Proportional to 32,495.76, 48,746.61 and 9,122.04

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Solution

The fourth proportional to 32,495.76, 48,746.61 and 9,122.04 is: 13,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.76 : 48,746.61 = 9,122.04 : x
  2. Step 2: Convert to fraction form
    32,495.76/48,746.61 = 9,122.04/x
  3. Step 3: Cross multiply
    32,495.76x = 48,746.61 × 9,122.04
  4. Step 4: Simplify right side
    32,495.76x = 444,668,526.28
  5. Step 5: Solve for x
    x = 444,668,526.28/32,495.76
  6. Step 6: Final answer
    x = 13,683.89

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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.