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Finding the Fourth Proportional to 31,323.60, 46,985.40 and 27,095.40

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Solution

The fourth proportional to 31,323.60, 46,985.40 and 27,095.40 is: 40,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.60 : 46,985.40 = 27,095.40 : x
  2. Step 2: Convert to fraction form
    31,323.60/46,985.40 = 27,095.40/x
  3. Step 3: Cross multiply
    31,323.60x = 46,985.40 × 27,095.40
  4. Step 4: Simplify right side
    31,323.60x = 1,273,088,207.16
  5. Step 5: Solve for x
    x = 1,273,088,207.16/31,323.60
  6. Step 6: Final answer
    x = 40,643.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.