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Finding the Fourth Proportional to 97,496.32, 134,544.32 and 52,784

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Solution

The fourth proportional to 97,496.32, 134,544.32 and 52,784 is: 72,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496.32 : 134,544.32 = 52,784 : x
  2. Step 2: Convert to fraction form
    97,496.32/134,544.32 = 52,784/x
  3. Step 3: Cross multiply
    97,496.32x = 134,544.32 × 52,784
  4. Step 4: Simplify right side
    97,496.32x = 7,101,787,386.88
  5. Step 5: Solve for x
    x = 7,101,787,386.88/97,496.32
  6. Step 6: Final answer
    x = 72,841.59

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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.