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Finding the Fourth Proportional to 86,569, 129,775.74 and 31,152.04

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Solution

The fourth proportional to 86,569, 129,775.74 and 31,152.04 is: 46,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569 : 129,775.74 = 31,152.04 : x
  2. Step 2: Convert to fraction form
    86,569/129,775.74 = 31,152.04/x
  3. Step 3: Cross multiply
    86,569x = 129,775.74 × 31,152.04
  4. Step 4: Simplify right side
    86,569x = 4,042,779,043.51
  5. Step 5: Solve for x
    x = 4,042,779,043.51/86,569
  6. Step 6: Final answer
    x = 46,700.08

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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.