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Finding the Fourth Proportional to 74,856.60, 112,301.10 and 22,271.40

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Solution

The fourth proportional to 74,856.60, 112,301.10 and 22,271.40 is: 33,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856.60 : 112,301.10 = 22,271.40 : x
  2. Step 2: Convert to fraction form
    74,856.60/112,301.10 = 22,271.40/x
  3. Step 3: Cross multiply
    74,856.60x = 112,301.10 × 22,271.40
  4. Step 4: Simplify right side
    74,856.60x = 2,501,102,718.54
  5. Step 5: Solve for x
    x = 2,501,102,718.54/74,856.60
  6. Step 6: Final answer
    x = 33,411.92

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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.