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Finding the Fourth Proportional to 32,681.70, 49,038.78 and 12,959.82

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Solution

The fourth proportional to 32,681.70, 49,038.78 and 12,959.82 is: 19,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681.70 : 49,038.78 = 12,959.82 : x
  2. Step 2: Convert to fraction form
    32,681.70/49,038.78 = 12,959.82/x
  3. Step 3: Cross multiply
    32,681.70x = 49,038.78 × 12,959.82
  4. Step 4: Simplify right side
    32,681.70x = 635,533,761.82
  5. Step 5: Solve for x
    x = 635,533,761.82/32,681.70
  6. Step 6: Final answer
    x = 19,446.17

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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.