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Finding the Fourth Proportional to 65,316.50, 97,975.23 and 16,068.50

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Solution

The fourth proportional to 65,316.50, 97,975.23 and 16,068.50 is: 24,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,316.50 : 97,975.23 = 16,068.50 : x
  2. Step 2: Convert to fraction form
    65,316.50/97,975.23 = 16,068.50/x
  3. Step 3: Cross multiply
    65,316.50x = 97,975.23 × 16,068.50
  4. Step 4: Simplify right side
    65,316.50x = 1,574,314,983.26
  5. Step 5: Solve for x
    x = 1,574,314,983.26/65,316.50
  6. Step 6: Final answer
    x = 24,102.87

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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.