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Finding the Fourth Proportional to 46,706.45, 64,456.83 and 26,566.88

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Solution

The fourth proportional to 46,706.45, 64,456.83 and 26,566.88 is: 36,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,706.45 : 64,456.83 = 26,566.88 : x
  2. Step 2: Convert to fraction form
    46,706.45/64,456.83 = 26,566.88/x
  3. Step 3: Cross multiply
    46,706.45x = 64,456.83 × 26,566.88
  4. Step 4: Simplify right side
    46,706.45x = 1,712,416,545.51
  5. Step 5: Solve for x
    x = 1,712,416,545.51/46,706.45
  6. Step 6: Final answer
    x = 36,663.39

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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.