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Finding the Fourth Proportional to 42,409.89, 58,527.45 and 23,547

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Solution

The fourth proportional to 42,409.89, 58,527.45 and 23,547 is: 32,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.89 : 58,527.45 = 23,547 : x
  2. Step 2: Convert to fraction form
    42,409.89/58,527.45 = 23,547/x
  3. Step 3: Cross multiply
    42,409.89x = 58,527.45 × 23,547
  4. Step 4: Simplify right side
    42,409.89x = 1,378,145,865.15
  5. Step 5: Solve for x
    x = 1,378,145,865.15/42,409.89
  6. Step 6: Final answer
    x = 32,495.86

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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.