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Finding the Fourth Proportional to 35,714.22, 49,285.70 and 19,798.67

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Solution

The fourth proportional to 35,714.22, 49,285.70 and 19,798.67 is: 27,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.22 : 49,285.70 = 19,798.67 : x
  2. Step 2: Convert to fraction form
    35,714.22/49,285.70 = 19,798.67/x
  3. Step 3: Cross multiply
    35,714.22x = 49,285.70 × 19,798.67
  4. Step 4: Simplify right side
    35,714.22x = 975,791,332.07
  5. Step 5: Solve for x
    x = 975,791,332.07/35,714.22
  6. Step 6: Final answer
    x = 27,322.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.