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Finding the Fourth Proportional to 32,696, 45,124.32 and 19,448

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Solution

The fourth proportional to 32,696, 45,124.32 and 19,448 is: 26,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696 : 45,124.32 = 19,448 : x
  2. Step 2: Convert to fraction form
    32,696/45,124.32 = 19,448/x
  3. Step 3: Cross multiply
    32,696x = 45,124.32 × 19,448
  4. Step 4: Simplify right side
    32,696x = 877,577,775.36
  5. Step 5: Solve for x
    x = 877,577,775.36/32,696
  6. Step 6: Final answer
    x = 26,840.52

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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.