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Finding the Fourth Proportional to 52,412.86, 72,328.71 and 28,539.82

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Solution

The fourth proportional to 52,412.86, 72,328.71 and 28,539.82 is: 39,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.86 : 72,328.71 = 28,539.82 : x
  2. Step 2: Convert to fraction form
    52,412.86/72,328.71 = 28,539.82/x
  3. Step 3: Cross multiply
    52,412.86x = 72,328.71 × 28,539.82
  4. Step 4: Simplify right side
    52,412.86x = 2,064,248,364.23
  5. Step 5: Solve for x
    x = 2,064,248,364.23/52,412.86
  6. Step 6: Final answer
    x = 39,384.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.