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Finding the Fourth Proportional to 52,007.16, 71,802.54 and 34,128.12

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Solution

The fourth proportional to 52,007.16, 71,802.54 and 34,128.12 is: 47,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.16 : 71,802.54 = 34,128.12 : x
  2. Step 2: Convert to fraction form
    52,007.16/71,802.54 = 34,128.12/x
  3. Step 3: Cross multiply
    52,007.16x = 71,802.54 × 34,128.12
  4. Step 4: Simplify right side
    52,007.16x = 2,450,485,701.42
  5. Step 5: Solve for x
    x = 2,450,485,701.42/52,007.16
  6. Step 6: Final answer
    x = 47,118.24

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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.