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Finding the Fourth Proportional to 78,465.79, 117,698.73 and 19,302.58

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Solution

The fourth proportional to 78,465.79, 117,698.73 and 19,302.58 is: 28,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.79 : 117,698.73 = 19,302.58 : x
  2. Step 2: Convert to fraction form
    78,465.79/117,698.73 = 19,302.58/x
  3. Step 3: Cross multiply
    78,465.79x = 117,698.73 × 19,302.58
  4. Step 4: Simplify right side
    78,465.79x = 2,271,889,151.72
  5. Step 5: Solve for x
    x = 2,271,889,151.72/78,465.79
  6. Step 6: Final answer
    x = 28,953.88

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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.