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Finding the Fourth Proportional to 35,985.84, 49,658.76 and 19,853.67

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Solution

The fourth proportional to 35,985.84, 49,658.76 and 19,853.67 is: 27,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985.84 : 49,658.76 = 19,853.67 : x
  2. Step 2: Convert to fraction form
    35,985.84/49,658.76 = 19,853.67/x
  3. Step 3: Cross multiply
    35,985.84x = 49,658.76 × 19,853.67
  4. Step 4: Simplify right side
    35,985.84x = 985,908,633.65
  5. Step 5: Solve for x
    x = 985,908,633.65/35,985.84
  6. Step 6: Final answer
    x = 27,397.13

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Why These Related Problems?

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