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Finding the Fourth Proportional to 56,208.40, 77,567.79 and 30,714.76

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Solution

The fourth proportional to 56,208.40, 77,567.79 and 30,714.76 is: 42,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,208.40 : 77,567.79 = 30,714.76 : x
  2. Step 2: Convert to fraction form
    56,208.40/77,567.79 = 30,714.76/x
  3. Step 3: Cross multiply
    56,208.40x = 77,567.79 × 30,714.76
  4. Step 4: Simplify right side
    56,208.40x = 2,382,476,136.14
  5. Step 5: Solve for x
    x = 2,382,476,136.14/56,208.40
  6. Step 6: Final answer
    x = 42,386.48

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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.