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Finding the Fourth Proportional to 56,497.50, 77,966.49 and 31,004.01

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Solution

The fourth proportional to 56,497.50, 77,966.49 and 31,004.01 is: 42,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.50 : 77,966.49 = 31,004.01 : x
  2. Step 2: Convert to fraction form
    56,497.50/77,966.49 = 31,004.01/x
  3. Step 3: Cross multiply
    56,497.50x = 77,966.49 × 31,004.01
  4. Step 4: Simplify right side
    56,497.50x = 2,417,273,835.62
  5. Step 5: Solve for x
    x = 2,417,273,835.62/56,497.50
  6. Step 6: Final answer
    x = 42,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.