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Finding the Fourth Proportional to 51,359.74, 77,038.53 and 23,657.74

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Solution

The fourth proportional to 51,359.74, 77,038.53 and 23,657.74 is: 35,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,359.74 : 77,038.53 = 23,657.74 : x
  2. Step 2: Convert to fraction form
    51,359.74/77,038.53 = 23,657.74/x
  3. Step 3: Cross multiply
    51,359.74x = 77,038.53 × 23,657.74
  4. Step 4: Simplify right side
    51,359.74x = 1,822,557,231.41
  5. Step 5: Solve for x
    x = 1,822,557,231.41/51,359.74
  6. Step 6: Final answer
    x = 35,486.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.