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Finding the Fourth Proportional to 31,060.38, 46,590.12 and 7,686.84

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Solution

The fourth proportional to 31,060.38, 46,590.12 and 7,686.84 is: 11,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.38 : 46,590.12 = 7,686.84 : x
  2. Step 2: Convert to fraction form
    31,060.38/46,590.12 = 7,686.84/x
  3. Step 3: Cross multiply
    31,060.38x = 46,590.12 × 7,686.84
  4. Step 4: Simplify right side
    31,060.38x = 358,130,798.02
  5. Step 5: Solve for x
    x = 358,130,798.02/31,060.38
  6. Step 6: Final answer
    x = 11,530.15

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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.