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Finding the Fourth Proportional to 86,582.63, 119,482.86 and 48,342.77

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Solution

The fourth proportional to 86,582.63, 119,482.86 and 48,342.77 is: 66,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582.63 : 119,482.86 = 48,342.77 : x
  2. Step 2: Convert to fraction form
    86,582.63/119,482.86 = 48,342.77/x
  3. Step 3: Cross multiply
    86,582.63x = 119,482.86 × 48,342.77
  4. Step 4: Simplify right side
    86,582.63x = 5,776,132,419.92
  5. Step 5: Solve for x
    x = 5,776,132,419.92/86,582.63
  6. Step 6: Final answer
    x = 66,712.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.