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Finding the Fourth Proportional to 78,465.60, 117,661.30 and 28,510.88

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Solution

The fourth proportional to 78,465.60, 117,661.30 and 28,510.88 is: 42,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.60 : 117,661.30 = 28,510.88 : x
  2. Step 2: Convert to fraction form
    78,465.60/117,661.30 = 28,510.88/x
  3. Step 3: Cross multiply
    78,465.60x = 117,661.30 × 28,510.88
  4. Step 4: Simplify right side
    78,465.60x = 3,354,627,204.94
  5. Step 5: Solve for x
    x = 3,354,627,204.94/78,465.60
  6. Step 6: Final answer
    x = 42,752.84

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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.