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Finding the Fourth Proportional to 105,300, 157,950 and 31,428

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Solution

The fourth proportional to 105,300, 157,950 and 31,428 is: 47,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,300 : 157,950 = 31,428 : x
  2. Step 2: Convert to fraction form
    105,300/157,950 = 31,428/x
  3. Step 3: Cross multiply
    105,300x = 157,950 × 31,428
  4. Step 4: Simplify right side
    105,300x = 4,964,052,600
  5. Step 5: Solve for x
    x = 4,964,052,600/105,300
  6. Step 6: Final answer
    x = 47,142

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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.