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Finding the Fourth Proportional to 53,318.32, 73,567.98 and 31,802.34

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Solution

The fourth proportional to 53,318.32, 73,567.98 and 31,802.34 is: 43,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,318.32 : 73,567.98 = 31,802.34 : x
  2. Step 2: Convert to fraction form
    53,318.32/73,567.98 = 31,802.34/x
  3. Step 3: Cross multiply
    53,318.32x = 73,567.98 × 31,802.34
  4. Step 4: Simplify right side
    53,318.32x = 2,339,633,913.07
  5. Step 5: Solve for x
    x = 2,339,633,913.07/53,318.32
  6. Step 6: Final answer
    x = 43,880.49

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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.