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Finding the Fourth Proportional to 43,706.48, 65,560 and 17,417.84

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Solution

The fourth proportional to 43,706.48, 65,560 and 17,417.84 is: 26,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706.48 : 65,560 = 17,417.84 : x
  2. Step 2: Convert to fraction form
    43,706.48/65,560 = 17,417.84/x
  3. Step 3: Cross multiply
    43,706.48x = 65,560 × 17,417.84
  4. Step 4: Simplify right side
    43,706.48x = 1,141,913,590.40
  5. Step 5: Solve for x
    x = 1,141,913,590.40/43,706.48
  6. Step 6: Final answer
    x = 26,126.87

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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.