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Finding the Fourth Proportional to 31,005.60, 46,508.40 and 22,322.40

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Solution

The fourth proportional to 31,005.60, 46,508.40 and 22,322.40 is: 33,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.60 : 46,508.40 = 22,322.40 : x
  2. Step 2: Convert to fraction form
    31,005.60/46,508.40 = 22,322.40/x
  3. Step 3: Cross multiply
    31,005.60x = 46,508.40 × 22,322.40
  4. Step 4: Simplify right side
    31,005.60x = 1,038,179,108.16
  5. Step 5: Solve for x
    x = 1,038,179,108.16/31,005.60
  6. Step 6: Final answer
    x = 33,483.60

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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.