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Finding the Fourth Proportional to 56,742.32, 78,278.81 and 38,570.78

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Solution

The fourth proportional to 56,742.32, 78,278.81 and 38,570.78 is: 53,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742.32 : 78,278.81 = 38,570.78 : x
  2. Step 2: Convert to fraction form
    56,742.32/78,278.81 = 38,570.78/x
  3. Step 3: Cross multiply
    56,742.32x = 78,278.81 × 38,570.78
  4. Step 4: Simplify right side
    56,742.32x = 3,019,274,762.01
  5. Step 5: Solve for x
    x = 3,019,274,762.01/56,742.32
  6. Step 6: Final answer
    x = 53,210.28

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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.