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Finding the Fourth Proportional to 35,830.68, 53,754.93 and 12,457.32

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Solution

The fourth proportional to 35,830.68, 53,754.93 and 12,457.32 is: 18,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.68 : 53,754.93 = 12,457.32 : x
  2. Step 2: Convert to fraction form
    35,830.68/53,754.93 = 12,457.32/x
  3. Step 3: Cross multiply
    35,830.68x = 53,754.93 × 12,457.32
  4. Step 4: Simplify right side
    35,830.68x = 669,642,364.59
  5. Step 5: Solve for x
    x = 669,642,364.59/35,830.68
  6. Step 6: Final answer
    x = 18,689.08

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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.