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Finding the Fourth Proportional to 35,376.19, 53,046.02 and 10,413

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Solution

The fourth proportional to 35,376.19, 53,046.02 and 10,413 is: 15,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,376.19 : 53,046.02 = 10,413 : x
  2. Step 2: Convert to fraction form
    35,376.19/53,046.02 = 10,413/x
  3. Step 3: Cross multiply
    35,376.19x = 53,046.02 × 10,413
  4. Step 4: Simplify right side
    35,376.19x = 552,368,206.26
  5. Step 5: Solve for x
    x = 552,368,206.26/35,376.19
  6. Step 6: Final answer
    x = 15,614.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.