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Finding the Fourth Proportional to 86,509, 119,389.71 and 48,790.54

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Solution

The fourth proportional to 86,509, 119,389.71 and 48,790.54 is: 67,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509 : 119,389.71 = 48,790.54 : x
  2. Step 2: Convert to fraction form
    86,509/119,389.71 = 48,790.54/x
  3. Step 3: Cross multiply
    86,509x = 119,389.71 × 48,790.54
  4. Step 4: Simplify right side
    86,509x = 5,825,088,421.34
  5. Step 5: Solve for x
    x = 5,825,088,421.34/86,509
  6. Step 6: Final answer
    x = 67,335.06

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