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Finding the Fourth Proportional to 65,210.48, 97,814.76 and 20,836.64

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Solution

The fourth proportional to 65,210.48, 97,814.76 and 20,836.64 is: 31,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.48 : 97,814.76 = 20,836.64 : x
  2. Step 2: Convert to fraction form
    65,210.48/97,814.76 = 20,836.64/x
  3. Step 3: Cross multiply
    65,210.48x = 97,814.76 × 20,836.64
  4. Step 4: Simplify right side
    65,210.48x = 2,038,130,940.81
  5. Step 5: Solve for x
    x = 2,038,130,940.81/65,210.48
  6. Step 6: Final answer
    x = 31,254.65

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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.