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Finding the Fourth Proportional to 52,597.96, 78,699.28 and 31,460.20

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Solution

The fourth proportional to 52,597.96, 78,699.28 and 31,460.20 is: 47,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597.96 : 78,699.28 = 31,460.20 : x
  2. Step 2: Convert to fraction form
    52,597.96/78,699.28 = 31,460.20/x
  3. Step 3: Cross multiply
    52,597.96x = 78,699.28 × 31,460.20
  4. Step 4: Simplify right side
    52,597.96x = 2,475,895,088.66
  5. Step 5: Solve for x
    x = 2,475,895,088.66/52,597.96
  6. Step 6: Final answer
    x = 47,072.07

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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.