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Finding the Fourth Proportional to 57,412.40, 86,045.70 and 31,095.50

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Solution

The fourth proportional to 57,412.40, 86,045.70 and 31,095.50 is: 46,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.40 : 86,045.70 = 31,095.50 : x
  2. Step 2: Convert to fraction form
    57,412.40/86,045.70 = 31,095.50/x
  3. Step 3: Cross multiply
    57,412.40x = 86,045.70 × 31,095.50
  4. Step 4: Simplify right side
    57,412.40x = 2,675,634,064.35
  5. Step 5: Solve for x
    x = 2,675,634,064.35/57,412.40
  6. Step 6: Final answer
    x = 46,603.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.