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Finding the Fourth Proportional to 97,507, 134,559.66 and 52,795

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Solution

The fourth proportional to 97,507, 134,559.66 and 52,795 is: 72,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,507 : 134,559.66 = 52,795 : x
  2. Step 2: Convert to fraction form
    97,507/134,559.66 = 52,795/x
  3. Step 3: Cross multiply
    97,507x = 134,559.66 × 52,795
  4. Step 4: Simplify right side
    97,507x = 7,104,077,249.70
  5. Step 5: Solve for x
    x = 7,104,077,249.70/97,507
  6. Step 6: Final answer
    x = 72,857.10

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Why These Related Problems?

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