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Finding the Fourth Proportional to 45,842, 63,262 and 25,970

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Solution

The fourth proportional to 45,842, 63,262 and 25,970 is: 35,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842 : 63,262 = 25,970 : x
  2. Step 2: Convert to fraction form
    45,842/63,262 = 25,970/x
  3. Step 3: Cross multiply
    45,842x = 63,262 × 25,970
  4. Step 4: Simplify right side
    45,842x = 1,642,914,140
  5. Step 5: Solve for x
    x = 1,642,914,140/45,842
  6. Step 6: Final answer
    x = 35,838.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.