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Finding the Fourth Proportional to 52,365.86, 78,519.03 and 35,746.01

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Solution

The fourth proportional to 52,365.86, 78,519.03 and 35,746.01 is: 53,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365.86 : 78,519.03 = 35,746.01 : x
  2. Step 2: Convert to fraction form
    52,365.86/78,519.03 = 35,746.01/x
  3. Step 3: Cross multiply
    52,365.86x = 78,519.03 × 35,746.01
  4. Step 4: Simplify right side
    52,365.86x = 2,806,741,638.98
  5. Step 5: Solve for x
    x = 2,806,741,638.98/52,365.86
  6. Step 6: Final answer
    x = 53,598.70

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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.