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Finding the Fourth Proportional to 77,662.64, 116,528.52 and 40,718

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Solution

The fourth proportional to 77,662.64, 116,528.52 and 40,718 is: 61,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662.64 : 116,528.52 = 40,718 : x
  2. Step 2: Convert to fraction form
    77,662.64/116,528.52 = 40,718/x
  3. Step 3: Cross multiply
    77,662.64x = 116,528.52 × 40,718
  4. Step 4: Simplify right side
    77,662.64x = 4,744,808,277.36
  5. Step 5: Solve for x
    x = 4,744,808,277.36/77,662.64
  6. Step 6: Final answer
    x = 61,095.12

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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.