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Finding the Fourth Proportional to 53,462.63, 73,797.86 and 31,106.63

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Solution

The fourth proportional to 53,462.63, 73,797.86 and 31,106.63 is: 42,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462.63 : 73,797.86 = 31,106.63 : x
  2. Step 2: Convert to fraction form
    53,462.63/73,797.86 = 31,106.63/x
  3. Step 3: Cross multiply
    53,462.63x = 73,797.86 × 31,106.63
  4. Step 4: Simplify right side
    53,462.63x = 2,295,602,434.59
  5. Step 5: Solve for x
    x = 2,295,602,434.59/53,462.63
  6. Step 6: Final answer
    x = 42,938.45

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1.5x scale

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.