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Finding the Fourth Proportional to 107,629.76, 161,445 and 37,460

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Solution

The fourth proportional to 107,629.76, 161,445 and 37,460 is: 56,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,629.76 : 161,445 = 37,460 : x
  2. Step 2: Convert to fraction form
    107,629.76/161,445 = 37,460/x
  3. Step 3: Cross multiply
    107,629.76x = 161,445 × 37,460
  4. Step 4: Simplify right side
    107,629.76x = 6,047,729,700
  5. Step 5: Solve for x
    x = 6,047,729,700/107,629.76
  6. Step 6: Final answer
    x = 56,190.13

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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.