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Finding the Fourth Proportional to 35,513.27, 52,978.83 and 34,547.96

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Solution

The fourth proportional to 35,513.27, 52,978.83 and 34,547.96 is: 51,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.27 : 52,978.83 = 34,547.96 : x
  2. Step 2: Convert to fraction form
    35,513.27/52,978.83 = 34,547.96/x
  3. Step 3: Cross multiply
    35,513.27x = 52,978.83 × 34,547.96
  4. Step 4: Simplify right side
    35,513.27x = 1,830,310,321.16
  5. Step 5: Solve for x
    x = 1,830,310,321.16/35,513.27
  6. Step 6: Final answer
    x = 51,538.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.