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Finding the Fourth Proportional to 102,071.98, 152,886.37 and 49,370.95

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Solution

The fourth proportional to 102,071.98, 152,886.37 and 49,370.95 is: 73,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.98 : 152,886.37 = 49,370.95 : x
  2. Step 2: Convert to fraction form
    102,071.98/152,886.37 = 49,370.95/x
  3. Step 3: Cross multiply
    102,071.98x = 152,886.37 × 49,370.95
  4. Step 4: Simplify right side
    102,071.98x = 7,548,145,328.95
  5. Step 5: Solve for x
    x = 7,548,145,328.95/102,071.98
  6. Step 6: Final answer
    x = 73,949.24

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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.