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Finding the Fourth Proportional to 56,293.38, 77,684.94 and 30,802.14

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Solution

The fourth proportional to 56,293.38, 77,684.94 and 30,802.14 is: 42,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,293.38 : 77,684.94 = 30,802.14 : x
  2. Step 2: Convert to fraction form
    56,293.38/77,684.94 = 30,802.14/x
  3. Step 3: Cross multiply
    56,293.38x = 77,684.94 × 30,802.14
  4. Step 4: Simplify right side
    56,293.38x = 2,392,862,397.77
  5. Step 5: Solve for x
    x = 2,392,862,397.77/56,293.38
  6. Step 6: Final answer
    x = 42,506.99

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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.