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Finding the Fourth Proportional to 102,545.50, 153,844.26 and 28,673.50

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Solution

The fourth proportional to 102,545.50, 153,844.26 and 28,673.50 is: 43,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,545.50 : 153,844.26 = 28,673.50 : x
  2. Step 2: Convert to fraction form
    102,545.50/153,844.26 = 28,673.50/x
  3. Step 3: Cross multiply
    102,545.50x = 153,844.26 × 28,673.50
  4. Step 4: Simplify right side
    102,545.50x = 4,411,253,389.11
  5. Step 5: Solve for x
    x = 4,411,253,389.11/102,545.50
  6. Step 6: Final answer
    x = 43,017.52

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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.