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Finding the Fourth Proportional to 37,142.93, 55,714.51 and 9,440.93

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Solution

The fourth proportional to 37,142.93, 55,714.51 and 9,440.93 is: 14,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.93 : 55,714.51 = 9,440.93 : x
  2. Step 2: Convert to fraction form
    37,142.93/55,714.51 = 9,440.93/x
  3. Step 3: Cross multiply
    37,142.93x = 55,714.51 × 9,440.93
  4. Step 4: Simplify right side
    37,142.93x = 525,996,510.32
  5. Step 5: Solve for x
    x = 525,996,510.32/37,142.93
  6. Step 6: Final answer
    x = 14,161.42

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1.5x scale

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.