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Finding the Fourth Proportional to 86,582.80, 129,809.40 and 47,184.40

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Solution

The fourth proportional to 86,582.80, 129,809.40 and 47,184.40 is: 70,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582.80 : 129,809.40 = 47,184.40 : x
  2. Step 2: Convert to fraction form
    86,582.80/129,809.40 = 47,184.40/x
  3. Step 3: Cross multiply
    86,582.80x = 129,809.40 × 47,184.40
  4. Step 4: Simplify right side
    86,582.80x = 6,124,978,653.36
  5. Step 5: Solve for x
    x = 6,124,978,653.36/86,582.80
  6. Step 6: Final answer
    x = 70,741.29

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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.