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Finding the Fourth Proportional to 51,798.93, 77,690.71 and 14,355.10

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Solution

The fourth proportional to 51,798.93, 77,690.71 and 14,355.10 is: 21,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.93 : 77,690.71 = 14,355.10 : x
  2. Step 2: Convert to fraction form
    51,798.93/77,690.71 = 14,355.10/x
  3. Step 3: Cross multiply
    51,798.93x = 77,690.71 × 14,355.10
  4. Step 4: Simplify right side
    51,798.93x = 1,115,257,839.35
  5. Step 5: Solve for x
    x = 1,115,257,839.35/51,798.93
  6. Step 6: Final answer
    x = 21,530.52

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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.