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Finding the Fourth Proportional to 51,307.68, 70,805.76 and 30,102.24

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Solution

The fourth proportional to 51,307.68, 70,805.76 and 30,102.24 is: 41,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,307.68 : 70,805.76 = 30,102.24 : x
  2. Step 2: Convert to fraction form
    51,307.68/70,805.76 = 30,102.24/x
  3. Step 3: Cross multiply
    51,307.68x = 70,805.76 × 30,102.24
  4. Step 4: Simplify right side
    51,307.68x = 2,131,411,980.90
  5. Step 5: Solve for x
    x = 2,131,411,980.90/51,307.68
  6. Step 6: Final answer
    x = 41,541.77

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