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Finding the Fourth Proportional to 52,537.86, 78,807.48 and 17,477.52

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Solution

The fourth proportional to 52,537.86, 78,807.48 and 17,477.52 is: 26,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537.86 : 78,807.48 = 17,477.52 : x
  2. Step 2: Convert to fraction form
    52,537.86/78,807.48 = 17,477.52/x
  3. Step 3: Cross multiply
    52,537.86x = 78,807.48 × 17,477.52
  4. Step 4: Simplify right side
    52,537.86x = 1,377,358,826.42
  5. Step 5: Solve for x
    x = 1,377,358,826.42/52,537.86
  6. Step 6: Final answer
    x = 26,216.50

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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.