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Finding the Fourth Proportional to 56,570.40, 78,070.68 and 31,419.84

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Solution

The fourth proportional to 56,570.40, 78,070.68 and 31,419.84 is: 43,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,570.40 : 78,070.68 = 31,419.84 : x
  2. Step 2: Convert to fraction form
    56,570.40/78,070.68 = 31,419.84/x
  3. Step 3: Cross multiply
    56,570.40x = 78,070.68 × 31,419.84
  4. Step 4: Simplify right side
    56,570.40x = 2,452,968,274.29
  5. Step 5: Solve for x
    x = 2,452,968,274.29/56,570.40
  6. Step 6: Final answer
    x = 43,361.34

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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.