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Finding the Fourth Proportional to 97,570, 134,647.14 and 52,858

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Solution

The fourth proportional to 97,570, 134,647.14 and 52,858 is: 72,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,570 : 134,647.14 = 52,858 : x
  2. Step 2: Convert to fraction form
    97,570/134,647.14 = 52,858/x
  3. Step 3: Cross multiply
    97,570x = 134,647.14 × 52,858
  4. Step 4: Simplify right side
    97,570x = 7,117,178,526.12
  5. Step 5: Solve for x
    x = 7,117,178,526.12/97,570
  6. Step 6: Final answer
    x = 72,944.33

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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.