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Finding the Fourth Proportional to 37,402, 51,611.07 and 26,095.80

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Solution

The fourth proportional to 37,402, 51,611.07 and 26,095.80 is: 36,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,402 : 51,611.07 = 26,095.80 : x
  2. Step 2: Convert to fraction form
    37,402/51,611.07 = 26,095.80/x
  3. Step 3: Cross multiply
    37,402x = 51,611.07 × 26,095.80
  4. Step 4: Simplify right side
    37,402x = 1,346,832,160.51
  5. Step 5: Solve for x
    x = 1,346,832,160.51/37,402
  6. Step 6: Final answer
    x = 36,009.63

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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.