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Finding the Fourth Proportional to 105,509.25, 158,263.88 and 31,637.25

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Solution

The fourth proportional to 105,509.25, 158,263.88 and 31,637.25 is: 47,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,509.25 : 158,263.88 = 31,637.25 : x
  2. Step 2: Convert to fraction form
    105,509.25/158,263.88 = 31,637.25/x
  3. Step 3: Cross multiply
    105,509.25x = 158,263.88 × 31,637.25
  4. Step 4: Simplify right side
    105,509.25x = 5,007,033,779.34
  5. Step 5: Solve for x
    x = 5,007,033,779.34/105,509.25
  6. Step 6: Final answer
    x = 47,455.88

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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.