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Finding the Fourth Proportional to 35,465.10, 53,205.44 and 10,507.11

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Solution

The fourth proportional to 35,465.10, 53,205.44 and 10,507.11 is: 15,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.10 : 53,205.44 = 10,507.11 : x
  2. Step 2: Convert to fraction form
    35,465.10/53,205.44 = 10,507.11/x
  3. Step 3: Cross multiply
    35,465.10x = 53,205.44 × 10,507.11
  4. Step 4: Simplify right side
    35,465.10x = 559,035,358.14
  5. Step 5: Solve for x
    x = 559,035,358.14/35,465.10
  6. Step 6: Final answer
    x = 15,762.97

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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.