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Finding the Fourth Proportional to 58,022.42, 87,039.69 and 24,746

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Solution

The fourth proportional to 58,022.42, 87,039.69 and 24,746 is: 37,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,022.42 : 87,039.69 = 24,746 : x
  2. Step 2: Convert to fraction form
    58,022.42/87,039.69 = 24,746/x
  3. Step 3: Cross multiply
    58,022.42x = 87,039.69 × 24,746
  4. Step 4: Simplify right side
    58,022.42x = 2,153,884,168.74
  5. Step 5: Solve for x
    x = 2,153,884,168.74/58,022.42
  6. Step 6: Final answer
    x = 37,121.58

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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.