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Finding the Fourth Proportional to 34,957.82, 52,444.32 and 12,771.16

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Solution

The fourth proportional to 34,957.82, 52,444.32 and 12,771.16 is: 19,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957.82 : 52,444.32 = 12,771.16 : x
  2. Step 2: Convert to fraction form
    34,957.82/52,444.32 = 12,771.16/x
  3. Step 3: Cross multiply
    34,957.82x = 52,444.32 × 12,771.16
  4. Step 4: Simplify right side
    34,957.82x = 669,774,801.81
  5. Step 5: Solve for x
    x = 669,774,801.81/34,957.82
  6. Step 6: Final answer
    x = 19,159.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.