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Finding the Fourth Proportional to 31,293.60, 46,955.44 and 19,444.16

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Solution

The fourth proportional to 31,293.60, 46,955.44 and 19,444.16 is: 29,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.60 : 46,955.44 = 19,444.16 : x
  2. Step 2: Convert to fraction form
    31,293.60/46,955.44 = 19,444.16/x
  3. Step 3: Cross multiply
    31,293.60x = 46,955.44 × 19,444.16
  4. Step 4: Simplify right side
    31,293.60x = 913,009,088.23
  5. Step 5: Solve for x
    x = 913,009,088.23/31,293.60
  6. Step 6: Final answer
    x = 29,175.59

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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.