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Finding the Fourth Proportional to 74,946.40, 112,403.40 and 32,826.40

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Solution

The fourth proportional to 74,946.40, 112,403.40 and 32,826.40 is: 49,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,946.40 : 112,403.40 = 32,826.40 : x
  2. Step 2: Convert to fraction form
    74,946.40/112,403.40 = 32,826.40/x
  3. Step 3: Cross multiply
    74,946.40x = 112,403.40 × 32,826.40
  4. Step 4: Simplify right side
    74,946.40x = 3,689,798,969.76
  5. Step 5: Solve for x
    x = 3,689,798,969.76/74,946.40
  6. Step 6: Final answer
    x = 49,232.50

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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.