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Finding the Fourth Proportional to 86,831.80, 130,381.35 and 47,465.80

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Solution

The fourth proportional to 86,831.80, 130,381.35 and 47,465.80 is: 71,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,831.80 : 130,381.35 = 47,465.80 : x
  2. Step 2: Convert to fraction form
    86,831.80/130,381.35 = 47,465.80/x
  3. Step 3: Cross multiply
    86,831.80x = 130,381.35 × 47,465.80
  4. Step 4: Simplify right side
    86,831.80x = 6,188,655,082.83
  5. Step 5: Solve for x
    x = 6,188,655,082.83/86,831.80
  6. Step 6: Final answer
    x = 71,271.76

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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.