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Finding the Fourth Proportional to 34,136.94, 51,386.57 and 24,343.98

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Solution

The fourth proportional to 34,136.94, 51,386.57 and 24,343.98 is: 36,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136.94 : 51,386.57 = 24,343.98 : x
  2. Step 2: Convert to fraction form
    34,136.94/51,386.57 = 24,343.98/x
  3. Step 3: Cross multiply
    34,136.94x = 51,386.57 × 24,343.98
  4. Step 4: Simplify right side
    34,136.94x = 1,250,953,510.63
  5. Step 5: Solve for x
    x = 1,250,953,510.63/34,136.94
  6. Step 6: Final answer
    x = 36,645.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.