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Finding the Fourth Proportional to 103,050, 154,597.05 and 31,971.11

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Solution

The fourth proportional to 103,050, 154,597.05 and 31,971.11 is: 47,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050 : 154,597.05 = 31,971.11 : x
  2. Step 2: Convert to fraction form
    103,050/154,597.05 = 31,971.11/x
  3. Step 3: Cross multiply
    103,050x = 154,597.05 × 31,971.11
  4. Step 4: Simplify right side
    103,050x = 4,942,638,518.24
  5. Step 5: Solve for x
    x = 4,942,638,518.24/103,050
  6. Step 6: Final answer
    x = 47,963.50

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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.