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Finding the Fourth Proportional to 82,638.06, 114,038.14 and 46,839.64

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Solution

The fourth proportional to 82,638.06, 114,038.14 and 46,839.64 is: 64,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638.06 : 114,038.14 = 46,839.64 : x
  2. Step 2: Convert to fraction form
    82,638.06/114,038.14 = 46,839.64/x
  3. Step 3: Cross multiply
    82,638.06x = 114,038.14 × 46,839.64
  4. Step 4: Simplify right side
    82,638.06x = 5,341,505,423.87
  5. Step 5: Solve for x
    x = 5,341,505,423.87/82,638.06
  6. Step 6: Final answer
    x = 64,637.35

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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.