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Finding the Fourth Proportional to 52,617.12, 72,621.04 and 31,106

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Solution

The fourth proportional to 52,617.12, 72,621.04 and 31,106 is: 42,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,617.12 : 72,621.04 = 31,106 : x
  2. Step 2: Convert to fraction form
    52,617.12/72,621.04 = 31,106/x
  3. Step 3: Cross multiply
    52,617.12x = 72,621.04 × 31,106
  4. Step 4: Simplify right side
    52,617.12x = 2,258,950,070.24
  5. Step 5: Solve for x
    x = 2,258,950,070.24/52,617.12
  6. Step 6: Final answer
    x = 42,931.85

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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.