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Finding the Fourth Proportional to 35,531.34, 53,287.73 and 10,564.67

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Solution

The fourth proportional to 35,531.34, 53,287.73 and 10,564.67 is: 15,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,531.34 : 53,287.73 = 10,564.67 : x
  2. Step 2: Convert to fraction form
    35,531.34/53,287.73 = 10,564.67/x
  3. Step 3: Cross multiply
    35,531.34x = 53,287.73 × 10,564.67
  4. Step 4: Simplify right side
    35,531.34x = 562,966,963.24
  5. Step 5: Solve for x
    x = 562,966,963.24/35,531.34
  6. Step 6: Final answer
    x = 15,844.24

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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.