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Finding the Fourth Proportional to 105,172, 157,763.12 and 31,300.64

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Solution

The fourth proportional to 105,172, 157,763.12 and 31,300.64 is: 46,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,172 : 157,763.12 = 31,300.64 : x
  2. Step 2: Convert to fraction form
    105,172/157,763.12 = 31,300.64/x
  3. Step 3: Cross multiply
    105,172x = 157,763.12 × 31,300.64
  4. Step 4: Simplify right side
    105,172x = 4,938,086,624.40
  5. Step 5: Solve for x
    x = 4,938,086,624.40/105,172
  6. Step 6: Final answer
    x = 46,952.48

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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.