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Finding the Fourth Proportional to 52,507.39, 78,713.70 and 35,646.08

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Solution

The fourth proportional to 52,507.39, 78,713.70 and 35,646.08 is: 53,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.39 : 78,713.70 = 35,646.08 : x
  2. Step 2: Convert to fraction form
    52,507.39/78,713.70 = 35,646.08/x
  3. Step 3: Cross multiply
    52,507.39x = 78,713.70 × 35,646.08
  4. Step 4: Simplify right side
    52,507.39x = 2,805,834,420.31
  5. Step 5: Solve for x
    x = 2,805,834,420.31/52,507.39
  6. Step 6: Final answer
    x = 53,436.94

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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.