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Finding the Fourth Proportional to 34,506.61, 47,642.72 and 26,426

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Solution

The fourth proportional to 34,506.61, 47,642.72 and 26,426 is: 36,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.61 : 47,642.72 = 26,426 : x
  2. Step 2: Convert to fraction form
    34,506.61/47,642.72 = 26,426/x
  3. Step 3: Cross multiply
    34,506.61x = 47,642.72 × 26,426
  4. Step 4: Simplify right side
    34,506.61x = 1,259,006,518.72
  5. Step 5: Solve for x
    x = 1,259,006,518.72/34,506.61
  6. Step 6: Final answer
    x = 36,485.95

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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.