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Finding the Fourth Proportional to 64,095.84, 96,143.80 and 32,501

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Solution

The fourth proportional to 64,095.84, 96,143.80 and 32,501 is: 48,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,095.84 : 96,143.80 = 32,501 : x
  2. Step 2: Convert to fraction form
    64,095.84/96,143.80 = 32,501/x
  3. Step 3: Cross multiply
    64,095.84x = 96,143.80 × 32,501
  4. Step 4: Simplify right side
    64,095.84x = 3,124,769,643.80
  5. Step 5: Solve for x
    x = 3,124,769,643.80/64,095.84
  6. Step 6: Final answer
    x = 48,751.52

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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.