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Finding the Fourth Proportional to 64,961.96, 97,477.12 and 46,108.40

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Solution

The fourth proportional to 64,961.96, 97,477.12 and 46,108.40 is: 69,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,961.96 : 97,477.12 = 46,108.40 : x
  2. Step 2: Convert to fraction form
    64,961.96/97,477.12 = 46,108.40/x
  3. Step 3: Cross multiply
    64,961.96x = 97,477.12 × 46,108.40
  4. Step 4: Simplify right side
    64,961.96x = 4,494,514,039.81
  5. Step 5: Solve for x
    x = 4,494,514,039.81/64,961.96
  6. Step 6: Final answer
    x = 69,186.86

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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.