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Finding the Fourth Proportional to 32,710, 45,139.80 and 17,806

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Solution

The fourth proportional to 32,710, 45,139.80 and 17,806 is: 24,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710 : 45,139.80 = 17,806 : x
  2. Step 2: Convert to fraction form
    32,710/45,139.80 = 17,806/x
  3. Step 3: Cross multiply
    32,710x = 45,139.80 × 17,806
  4. Step 4: Simplify right side
    32,710x = 803,759,278.80
  5. Step 5: Solve for x
    x = 803,759,278.80/32,710
  6. Step 6: Final answer
    x = 24,572.28

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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.