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Finding the Fourth Proportional to 51,637.38, 77,458.95 and 14,698.50

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Solution

The fourth proportional to 51,637.38, 77,458.95 and 14,698.50 is: 22,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,637.38 : 77,458.95 = 14,698.50 : x
  2. Step 2: Convert to fraction form
    51,637.38/77,458.95 = 14,698.50/x
  3. Step 3: Cross multiply
    51,637.38x = 77,458.95 × 14,698.50
  4. Step 4: Simplify right side
    51,637.38x = 1,138,530,376.58
  5. Step 5: Solve for x
    x = 1,138,530,376.58/51,637.38
  6. Step 6: Final answer
    x = 22,048.57

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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.