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Finding the Fourth Proportional to 97,647.76, 134,754 and 52,935.76

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Solution

The fourth proportional to 97,647.76, 134,754 and 52,935.76 is: 73,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647.76 : 134,754 = 52,935.76 : x
  2. Step 2: Convert to fraction form
    97,647.76/134,754 = 52,935.76/x
  3. Step 3: Cross multiply
    97,647.76x = 134,754 × 52,935.76
  4. Step 4: Simplify right side
    97,647.76x = 7,133,305,403.04
  5. Step 5: Solve for x
    x = 7,133,305,403.04/97,647.76
  6. Step 6: Final answer
    x = 73,051.40

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1.5x scale

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.