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Finding the Fourth Proportional to 65,802.96, 90,809.64 and 37,508.04

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Solution

The fourth proportional to 65,802.96, 90,809.64 and 37,508.04 is: 51,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.96 : 90,809.64 = 37,508.04 : x
  2. Step 2: Convert to fraction form
    65,802.96/90,809.64 = 37,508.04/x
  3. Step 3: Cross multiply
    65,802.96x = 90,809.64 × 37,508.04
  4. Step 4: Simplify right side
    65,802.96x = 3,406,091,609.51
  5. Step 5: Solve for x
    x = 3,406,091,609.51/65,802.96
  6. Step 6: Final answer
    x = 51,761.98

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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.