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Finding the Fourth Proportional to 65,458.80, 98,123.40 and 32,151.60

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Solution

The fourth proportional to 65,458.80, 98,123.40 and 32,151.60 is: 48,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.80 : 98,123.40 = 32,151.60 : x
  2. Step 2: Convert to fraction form
    65,458.80/98,123.40 = 32,151.60/x
  3. Step 3: Cross multiply
    65,458.80x = 98,123.40 × 32,151.60
  4. Step 4: Simplify right side
    65,458.80x = 3,154,824,307.44
  5. Step 5: Solve for x
    x = 3,154,824,307.44/65,458.80
  6. Step 6: Final answer
    x = 48,195.57

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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.