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Finding the Fourth Proportional to 102,505.50, 153,784.17 and 28,633.50

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Solution

The fourth proportional to 102,505.50, 153,784.17 and 28,633.50 is: 42,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.50 : 153,784.17 = 28,633.50 : x
  2. Step 2: Convert to fraction form
    102,505.50/153,784.17 = 28,633.50/x
  3. Step 3: Cross multiply
    102,505.50x = 153,784.17 × 28,633.50
  4. Step 4: Simplify right side
    102,505.50x = 4,403,379,031.70
  5. Step 5: Solve for x
    x = 4,403,379,031.70/102,505.50
  6. Step 6: Final answer
    x = 42,957.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.