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Finding the Fourth Proportional to 86,719.80, 130,014.90 and 47,321.40

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Solution

The fourth proportional to 86,719.80, 130,014.90 and 47,321.40 is: 70,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,719.80 : 130,014.90 = 47,321.40 : x
  2. Step 2: Convert to fraction form
    86,719.80/130,014.90 = 47,321.40/x
  3. Step 3: Cross multiply
    86,719.80x = 130,014.90 × 47,321.40
  4. Step 4: Simplify right side
    86,719.80x = 6,152,487,088.86
  5. Step 5: Solve for x
    x = 6,152,487,088.86/86,719.80
  6. Step 6: Final answer
    x = 70,946.74

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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.