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Finding the Fourth Proportional to 102,476.14, 153,731.72 and 35,004.47

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Solution

The fourth proportional to 102,476.14, 153,731.72 and 35,004.47 is: 52,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476.14 : 153,731.72 = 35,004.47 : x
  2. Step 2: Convert to fraction form
    102,476.14/153,731.72 = 35,004.47/x
  3. Step 3: Cross multiply
    102,476.14x = 153,731.72 × 35,004.47
  4. Step 4: Simplify right side
    102,476.14x = 5,381,296,699.64
  5. Step 5: Solve for x
    x = 5,381,296,699.64/102,476.14
  6. Step 6: Final answer
    x = 52,512.68

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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.