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Finding the Fourth Proportional to 29,032.08, 43,547.96 and 10,564.08

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Solution

The fourth proportional to 29,032.08, 43,547.96 and 10,564.08 is: 15,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032.08 : 43,547.96 = 10,564.08 : x
  2. Step 2: Convert to fraction form
    29,032.08/43,547.96 = 10,564.08/x
  3. Step 3: Cross multiply
    29,032.08x = 43,547.96 × 10,564.08
  4. Step 4: Simplify right side
    29,032.08x = 460,044,133.28
  5. Step 5: Solve for x
    x = 460,044,133.28/29,032.08
  6. Step 6: Final answer
    x = 15,846.06

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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.