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Finding the Fourth Proportional to 77,657.41, 116,412.30 and 49,498.42

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Solution

The fourth proportional to 77,657.41, 116,412.30 and 49,498.42 is: 74,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.41 : 116,412.30 = 49,498.42 : x
  2. Step 2: Convert to fraction form
    77,657.41/116,412.30 = 49,498.42/x
  3. Step 3: Cross multiply
    77,657.41x = 116,412.30 × 49,498.42
  4. Step 4: Simplify right side
    77,657.41x = 5,762,224,588.01
  5. Step 5: Solve for x
    x = 5,762,224,588.01/77,657.41
  6. Step 6: Final answer
    x = 74,200.58

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1.5x scale

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.