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Finding the Fourth Proportional to 52,407.40, 78,643.50 and 21,242.92

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Solution

The fourth proportional to 52,407.40, 78,643.50 and 21,242.92 is: 31,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.40 : 78,643.50 = 21,242.92 : x
  2. Step 2: Convert to fraction form
    52,407.40/78,643.50 = 21,242.92/x
  3. Step 3: Cross multiply
    52,407.40x = 78,643.50 × 21,242.92
  4. Step 4: Simplify right side
    52,407.40x = 1,670,617,579.02
  5. Step 5: Solve for x
    x = 1,670,617,579.02/52,407.40
  6. Step 6: Final answer
    x = 31,877.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.