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Finding the Fourth Proportional to 56,207.07, 77,565.93 and 30,714

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Solution

The fourth proportional to 56,207.07, 77,565.93 and 30,714 is: 42,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,207.07 : 77,565.93 = 30,714 : x
  2. Step 2: Convert to fraction form
    56,207.07/77,565.93 = 30,714/x
  3. Step 3: Cross multiply
    56,207.07x = 77,565.93 × 30,714
  4. Step 4: Simplify right side
    56,207.07x = 2,382,359,974.02
  5. Step 5: Solve for x
    x = 2,382,359,974.02/56,207.07
  6. Step 6: Final answer
    x = 42,385.41

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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.