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Finding the Fourth Proportional to 35,744.84, 53,617.40 and 14,953.76

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Solution

The fourth proportional to 35,744.84, 53,617.40 and 14,953.76 is: 22,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.84 : 53,617.40 = 14,953.76 : x
  2. Step 2: Convert to fraction form
    35,744.84/53,617.40 = 14,953.76/x
  3. Step 3: Cross multiply
    35,744.84x = 53,617.40 × 14,953.76
  4. Step 4: Simplify right side
    35,744.84x = 801,781,731.42
  5. Step 5: Solve for x
    x = 801,781,731.42/35,744.84
  6. Step 6: Final answer
    x = 22,430.70

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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.