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Finding the Fourth Proportional to 35,509.85, 53,248.37 and 13,307.34

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Solution

The fourth proportional to 35,509.85, 53,248.37 and 13,307.34 is: 19,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.85 : 53,248.37 = 13,307.34 : x
  2. Step 2: Convert to fraction form
    35,509.85/53,248.37 = 13,307.34/x
  3. Step 3: Cross multiply
    35,509.85x = 53,248.37 × 13,307.34
  4. Step 4: Simplify right side
    35,509.85x = 708,594,097.50
  5. Step 5: Solve for x
    x = 708,594,097.50/35,509.85
  6. Step 6: Final answer
    x = 19,954.86

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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.