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Finding the Fourth Proportional to 65,287.16, 89,509.52 and 64,106.18

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Solution

The fourth proportional to 65,287.16, 89,509.52 and 64,106.18 is: 87,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.16 : 89,509.52 = 64,106.18 : x
  2. Step 2: Convert to fraction form
    65,287.16/89,509.52 = 64,106.18/x
  3. Step 3: Cross multiply
    65,287.16x = 89,509.52 × 64,106.18
  4. Step 4: Simplify right side
    65,287.16x = 5,738,112,632.76
  5. Step 5: Solve for x
    x = 5,738,112,632.76/65,287.16
  6. Step 6: Final answer
    x = 87,890.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.