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Finding the Fourth Proportional to 42,762.65, 58,973.99 and 27,639.41

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Solution

The fourth proportional to 42,762.65, 58,973.99 and 27,639.41 is: 38,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,762.65 : 58,973.99 = 27,639.41 : x
  2. Step 2: Convert to fraction form
    42,762.65/58,973.99 = 27,639.41/x
  3. Step 3: Cross multiply
    42,762.65x = 58,973.99 × 27,639.41
  4. Step 4: Simplify right side
    42,762.65x = 1,630,005,855.88
  5. Step 5: Solve for x
    x = 1,630,005,855.88/42,762.65
  6. Step 6: Final answer
    x = 38,117.52

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Why These Related Problems?

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