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Finding the Fourth Proportional to 35,602.84, 53,407.91 and 13,434.87

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Solution

The fourth proportional to 35,602.84, 53,407.91 and 13,434.87 is: 20,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.84 : 53,407.91 = 13,434.87 : x
  2. Step 2: Convert to fraction form
    35,602.84/53,407.91 = 13,434.87/x
  3. Step 3: Cross multiply
    35,602.84x = 53,407.91 × 13,434.87
  4. Step 4: Simplify right side
    35,602.84x = 717,528,327.82
  5. Step 5: Solve for x
    x = 717,528,327.82/35,602.84
  6. Step 6: Final answer
    x = 20,153.68

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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.