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Finding the Fourth Proportional to 47,572.60, 65,544.47 and 31,411.11

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Solution

The fourth proportional to 47,572.60, 65,544.47 and 31,411.11 is: 43,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572.60 : 65,544.47 = 31,411.11 : x
  2. Step 2: Convert to fraction form
    47,572.60/65,544.47 = 31,411.11/x
  3. Step 3: Cross multiply
    47,572.60x = 65,544.47 × 31,411.11
  4. Step 4: Simplify right side
    47,572.60x = 2,058,824,400.01
  5. Step 5: Solve for x
    x = 2,058,824,400.01/47,572.60
  6. Step 6: Final answer
    x = 43,277.53

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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.