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Finding the Fourth Proportional to 70,756.25, 97,683.93 and 46,915.16

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Solution

The fourth proportional to 70,756.25, 97,683.93 and 46,915.16 is: 64,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756.25 : 97,683.93 = 46,915.16 : x
  2. Step 2: Convert to fraction form
    70,756.25/97,683.93 = 46,915.16/x
  3. Step 3: Cross multiply
    70,756.25x = 97,683.93 × 46,915.16
  4. Step 4: Simplify right side
    70,756.25x = 4,582,856,716.96
  5. Step 5: Solve for x
    x = 4,582,856,716.96/70,756.25
  6. Step 6: Final answer
    x = 64,769.64

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Why These Related Problems?

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