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Finding the Fourth Proportional to 77,114.80, 115,681.71 and 37,642.08

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Solution

The fourth proportional to 77,114.80, 115,681.71 and 37,642.08 is: 56,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.80 : 115,681.71 = 37,642.08 : x
  2. Step 2: Convert to fraction form
    77,114.80/115,681.71 = 37,642.08/x
  3. Step 3: Cross multiply
    77,114.80x = 115,681.71 × 37,642.08
  4. Step 4: Simplify right side
    77,114.80x = 4,354,500,757.32
  5. Step 5: Solve for x
    x = 4,354,500,757.32/77,114.80
  6. Step 6: Final answer
    x = 56,467.77

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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.