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Finding the Fourth Proportional to 56,574.16, 78,074.02 and 31,082.11

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Solution

The fourth proportional to 56,574.16, 78,074.02 and 31,082.11 is: 42,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,574.16 : 78,074.02 = 31,082.11 : x
  2. Step 2: Convert to fraction form
    56,574.16/78,074.02 = 31,082.11/x
  3. Step 3: Cross multiply
    56,574.16x = 78,074.02 × 31,082.11
  4. Step 4: Simplify right side
    56,574.16x = 2,426,705,374.07
  5. Step 5: Solve for x
    x = 2,426,705,374.07/56,574.16
  6. Step 6: Final answer
    x = 42,894.24

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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.