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Finding the Fourth Proportional to 102,073.04, 153,115.50 and 30,998

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Solution

The fourth proportional to 102,073.04, 153,115.50 and 30,998 is: 46,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.04 : 153,115.50 = 30,998 : x
  2. Step 2: Convert to fraction form
    102,073.04/153,115.50 = 30,998/x
  3. Step 3: Cross multiply
    102,073.04x = 153,115.50 × 30,998
  4. Step 4: Simplify right side
    102,073.04x = 4,746,274,269
  5. Step 5: Solve for x
    x = 4,746,274,269/102,073.04
  6. Step 6: Final answer
    x = 46,498.80

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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.