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Finding the Fourth Proportional to 64,160, 96,238.38 and 17,411.66

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Solution

The fourth proportional to 64,160, 96,238.38 and 17,411.66 is: 26,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,160 : 96,238.38 = 17,411.66 : x
  2. Step 2: Convert to fraction form
    64,160/96,238.38 = 17,411.66/x
  3. Step 3: Cross multiply
    64,160x = 96,238.38 × 17,411.66
  4. Step 4: Simplify right side
    64,160x = 1,675,669,951.51
  5. Step 5: Solve for x
    x = 1,675,669,951.51/64,160
  6. Step 6: Final answer
    x = 26,117.05

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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.