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Finding the Fourth Proportional to 87,188.50, 130,802.19 and 31,784.50

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Solution

The fourth proportional to 87,188.50, 130,802.19 and 31,784.50 is: 47,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,188.50 : 130,802.19 = 31,784.50 : x
  2. Step 2: Convert to fraction form
    87,188.50/130,802.19 = 31,784.50/x
  3. Step 3: Cross multiply
    87,188.50x = 130,802.19 × 31,784.50
  4. Step 4: Simplify right side
    87,188.50x = 4,157,482,208.06
  5. Step 5: Solve for x
    x = 4,157,482,208.06/87,188.50
  6. Step 6: Final answer
    x = 47,683.84

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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.