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Finding the Fourth Proportional to 52,865, 72,947 and 28,985.40

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Solution

The fourth proportional to 52,865, 72,947 and 28,985.40 is: 39,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,865 : 72,947 = 28,985.40 : x
  2. Step 2: Convert to fraction form
    52,865/72,947 = 28,985.40/x
  3. Step 3: Cross multiply
    52,865x = 72,947 × 28,985.40
  4. Step 4: Simplify right side
    52,865x = 2,114,397,973.80
  5. Step 5: Solve for x
    x = 2,114,397,973.80/52,865
  6. Step 6: Final answer
    x = 39,996.18

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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.