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Finding the Fourth Proportional to 53,624, 74,009.76 and 31,263.68

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Solution

The fourth proportional to 53,624, 74,009.76 and 31,263.68 is: 43,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,624 : 74,009.76 = 31,263.68 : x
  2. Step 2: Convert to fraction form
    53,624/74,009.76 = 31,263.68/x
  3. Step 3: Cross multiply
    53,624x = 74,009.76 × 31,263.68
  4. Step 4: Simplify right side
    53,624x = 2,313,817,453.52
  5. Step 5: Solve for x
    x = 2,313,817,453.52/53,624
  6. Step 6: Final answer
    x = 43,148.92

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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.