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Finding the Fourth Proportional to 64,705.71, 97,068.12 and 33,133.62

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Solution

The fourth proportional to 64,705.71, 97,068.12 and 33,133.62 is: 49,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,705.71 : 97,068.12 = 33,133.62 : x
  2. Step 2: Convert to fraction form
    64,705.71/97,068.12 = 33,133.62/x
  3. Step 3: Cross multiply
    64,705.71x = 97,068.12 × 33,133.62
  4. Step 4: Simplify right side
    64,705.71x = 3,216,218,202.19
  5. Step 5: Solve for x
    x = 3,216,218,202.19/64,705.71
  6. Step 6: Final answer
    x = 49,705.32

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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.