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Finding the Fourth Proportional to 52,415.40, 72,328.50 and 31,191.24

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Solution

The fourth proportional to 52,415.40, 72,328.50 and 31,191.24 is: 43,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,415.40 : 72,328.50 = 31,191.24 : x
  2. Step 2: Convert to fraction form
    52,415.40/72,328.50 = 31,191.24/x
  3. Step 3: Cross multiply
    52,415.40x = 72,328.50 × 31,191.24
  4. Step 4: Simplify right side
    52,415.40x = 2,256,015,602.34
  5. Step 5: Solve for x
    x = 2,256,015,602.34/52,415.40
  6. Step 6: Final answer
    x = 43,041.08

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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.