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Finding the Fourth Proportional to 60,148, 83,008.16 and 33,652

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Solution

The fourth proportional to 60,148, 83,008.16 and 33,652 is: 46,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,148 : 83,008.16 = 33,652 : x
  2. Step 2: Convert to fraction form
    60,148/83,008.16 = 33,652/x
  3. Step 3: Cross multiply
    60,148x = 83,008.16 × 33,652
  4. Step 4: Simplify right side
    60,148x = 2,793,390,600.32
  5. Step 5: Solve for x
    x = 2,793,390,600.32/60,148
  6. Step 6: Final answer
    x = 46,441.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.