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Finding the Fourth Proportional to 52,875.48, 72,943 and 31,650.64

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Solution

The fourth proportional to 52,875.48, 72,943 and 31,650.64 is: 43,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875.48 : 72,943 = 31,650.64 : x
  2. Step 2: Convert to fraction form
    52,875.48/72,943 = 31,650.64/x
  3. Step 3: Cross multiply
    52,875.48x = 72,943 × 31,650.64
  4. Step 4: Simplify right side
    52,875.48x = 2,308,692,633.52
  5. Step 5: Solve for x
    x = 2,308,692,633.52/52,875.48
  6. Step 6: Final answer
    x = 43,662.82

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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.