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Finding the Fourth Proportional to 35,555, 53,341.14 and 10,931

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Solution

The fourth proportional to 35,555, 53,341.14 and 10,931 is: 16,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,555 : 53,341.14 = 10,931 : x
  2. Step 2: Convert to fraction form
    35,555/53,341.14 = 10,931/x
  3. Step 3: Cross multiply
    35,555x = 53,341.14 × 10,931
  4. Step 4: Simplify right side
    35,555x = 583,072,001.34
  5. Step 5: Solve for x
    x = 583,072,001.34/35,555
  6. Step 6: Final answer
    x = 16,399.16

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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.