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Finding the Fourth Proportional to 35,319.07, 52,978.47 and 9,023.77

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Solution

The fourth proportional to 35,319.07, 52,978.47 and 9,023.77 is: 13,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319.07 : 52,978.47 = 9,023.77 : x
  2. Step 2: Convert to fraction form
    35,319.07/52,978.47 = 9,023.77/x
  3. Step 3: Cross multiply
    35,319.07x = 52,978.47 × 9,023.77
  4. Step 4: Simplify right side
    35,319.07x = 478,065,528.23
  5. Step 5: Solve for x
    x = 478,065,528.23/35,319.07
  6. Step 6: Final answer
    x = 13,535.62

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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.