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Finding the Fourth Proportional to 56,207.13, 77,564.90 and 30,712.94

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Solution

The fourth proportional to 56,207.13, 77,564.90 and 30,712.94 is: 42,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,207.13 : 77,564.90 = 30,712.94 : x
  2. Step 2: Convert to fraction form
    56,207.13/77,564.90 = 30,712.94/x
  3. Step 3: Cross multiply
    56,207.13x = 77,564.90 × 30,712.94
  4. Step 4: Simplify right side
    56,207.13x = 2,382,245,808.76
  5. Step 5: Solve for x
    x = 2,382,245,808.76/56,207.13
  6. Step 6: Final answer
    x = 42,383.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.