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Finding the Fourth Proportional to 52,695.24, 72,712.26 and 31,470

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Solution

The fourth proportional to 52,695.24, 72,712.26 and 31,470 is: 43,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,695.24 : 72,712.26 = 31,470 : x
  2. Step 2: Convert to fraction form
    52,695.24/72,712.26 = 31,470/x
  3. Step 3: Cross multiply
    52,695.24x = 72,712.26 × 31,470
  4. Step 4: Simplify right side
    52,695.24x = 2,288,254,822.20
  5. Step 5: Solve for x
    x = 2,288,254,822.20/52,695.24
  6. Step 6: Final answer
    x = 43,424.32

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