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Finding the Fourth Proportional to 65,312, 97,968.48 and 16,064

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Solution

The fourth proportional to 65,312, 97,968.48 and 16,064 is: 24,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312 : 97,968.48 = 16,064 : x
  2. Step 2: Convert to fraction form
    65,312/97,968.48 = 16,064/x
  3. Step 3: Cross multiply
    65,312x = 97,968.48 × 16,064
  4. Step 4: Simplify right side
    65,312x = 1,573,765,662.72
  5. Step 5: Solve for x
    x = 1,573,765,662.72/65,312
  6. Step 6: Final answer
    x = 24,096.12

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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.