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Finding the Fourth Proportional to 32,838.36, 49,264.74 and 10,653.98

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Solution

The fourth proportional to 32,838.36, 49,264.74 and 10,653.98 is: 15,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.36 : 49,264.74 = 10,653.98 : x
  2. Step 2: Convert to fraction form
    32,838.36/49,264.74 = 10,653.98/x
  3. Step 3: Cross multiply
    32,838.36x = 49,264.74 × 10,653.98
  4. Step 4: Simplify right side
    32,838.36x = 524,865,554.67
  5. Step 5: Solve for x
    x = 524,865,554.67/32,838.36
  6. Step 6: Final answer
    x = 15,983.31

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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.