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Finding the Fourth Proportional to 35,657.88, 53,457.66 and 13,458.62

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Solution

The fourth proportional to 35,657.88, 53,457.66 and 13,458.62 is: 20,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.88 : 53,457.66 = 13,458.62 : x
  2. Step 2: Convert to fraction form
    35,657.88/53,457.66 = 13,458.62/x
  3. Step 3: Cross multiply
    35,657.88x = 53,457.66 × 13,458.62
  4. Step 4: Simplify right side
    35,657.88x = 719,466,064.74
  5. Step 5: Solve for x
    x = 719,466,064.74/35,657.88
  6. Step 6: Final answer
    x = 20,176.92

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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.