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Finding the Fourth Proportional to 60,271, 90,406.50 and 23,335

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Solution

The fourth proportional to 60,271, 90,406.50 and 23,335 is: 35,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,271 : 90,406.50 = 23,335 : x
  2. Step 2: Convert to fraction form
    60,271/90,406.50 = 23,335/x
  3. Step 3: Cross multiply
    60,271x = 90,406.50 × 23,335
  4. Step 4: Simplify right side
    60,271x = 2,109,635,677.50
  5. Step 5: Solve for x
    x = 2,109,635,677.50/60,271
  6. Step 6: Final answer
    x = 35,002.50

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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.