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Finding the Fourth Proportional to 105,033.08, 157,503.54 and 39,323

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Solution

The fourth proportional to 105,033.08, 157,503.54 and 39,323 is: 58,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,033.08 : 157,503.54 = 39,323 : x
  2. Step 2: Convert to fraction form
    105,033.08/157,503.54 = 39,323/x
  3. Step 3: Cross multiply
    105,033.08x = 157,503.54 × 39,323
  4. Step 4: Simplify right side
    105,033.08x = 6,193,511,703.42
  5. Step 5: Solve for x
    x = 6,193,511,703.42/105,033.08
  6. Step 6: Final answer
    x = 58,967.25

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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.