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Finding the Fourth Proportional to 35,792.63, 53,666.90 and 12,097.94

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Solution

The fourth proportional to 35,792.63, 53,666.90 and 12,097.94 is: 18,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792.63 : 53,666.90 = 12,097.94 : x
  2. Step 2: Convert to fraction form
    35,792.63/53,666.90 = 12,097.94/x
  3. Step 3: Cross multiply
    35,792.63x = 53,666.90 × 12,097.94
  4. Step 4: Simplify right side
    35,792.63x = 649,259,009.86
  5. Step 5: Solve for x
    x = 649,259,009.86/35,792.63
  6. Step 6: Final answer
    x = 18,139.46

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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.