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Finding the Fourth Proportional to 64,962.96, 97,478.62 and 46,109.40

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Solution

The fourth proportional to 64,962.96, 97,478.62 and 46,109.40 is: 69,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962.96 : 97,478.62 = 46,109.40 : x
  2. Step 2: Convert to fraction form
    64,962.96/97,478.62 = 46,109.40/x
  3. Step 3: Cross multiply
    64,962.96x = 97,478.62 × 46,109.40
  4. Step 4: Simplify right side
    64,962.96x = 4,494,680,681.03
  5. Step 5: Solve for x
    x = 4,494,680,681.03/64,962.96
  6. Step 6: Final answer
    x = 69,188.36

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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.