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Finding the Fourth Proportional to 64,477.82, 96,703.91 and 32,448.35

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Solution

The fourth proportional to 64,477.82, 96,703.91 and 32,448.35 is: 48,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,477.82 : 96,703.91 = 32,448.35 : x
  2. Step 2: Convert to fraction form
    64,477.82/96,703.91 = 32,448.35/x
  3. Step 3: Cross multiply
    64,477.82x = 96,703.91 × 32,448.35
  4. Step 4: Simplify right side
    64,477.82x = 3,137,881,975.29
  5. Step 5: Solve for x
    x = 3,137,881,975.29/64,477.82
  6. Step 6: Final answer
    x = 48,666.07

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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.