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Finding the Fourth Proportional to 35,431.75, 53,154.16 and 14,656.87

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Solution

The fourth proportional to 35,431.75, 53,154.16 and 14,656.87 is: 21,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,431.75 : 53,154.16 = 14,656.87 : x
  2. Step 2: Convert to fraction form
    35,431.75/53,154.16 = 14,656.87/x
  3. Step 3: Cross multiply
    35,431.75x = 53,154.16 × 14,656.87
  4. Step 4: Simplify right side
    35,431.75x = 779,073,347.31
  5. Step 5: Solve for x
    x = 779,073,347.31/35,431.75
  6. Step 6: Final answer
    x = 21,988.00

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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.