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Finding the Fourth Proportional to 40,870.32, 56,411.76 and 22,971.12

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Solution

The fourth proportional to 40,870.32, 56,411.76 and 22,971.12 is: 31,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,870.32 : 56,411.76 = 22,971.12 : x
  2. Step 2: Convert to fraction form
    40,870.32/56,411.76 = 22,971.12/x
  3. Step 3: Cross multiply
    40,870.32x = 56,411.76 × 22,971.12
  4. Step 4: Simplify right side
    40,870.32x = 1,295,841,308.37
  5. Step 5: Solve for x
    x = 1,295,841,308.37/40,870.32
  6. Step 6: Final answer
    x = 31,706.17

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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.