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Finding the Fourth Proportional to 31,071.06, 42,878.16 and 18,495

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Solution

The fourth proportional to 31,071.06, 42,878.16 and 18,495 is: 25,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.06 : 42,878.16 = 18,495 : x
  2. Step 2: Convert to fraction form
    31,071.06/42,878.16 = 18,495/x
  3. Step 3: Cross multiply
    31,071.06x = 42,878.16 × 18,495
  4. Step 4: Simplify right side
    31,071.06x = 793,031,569.20
  5. Step 5: Solve for x
    x = 793,031,569.20/31,071.06
  6. Step 6: Final answer
    x = 25,523.16

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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.