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Finding the Fourth Proportional to 35,886.48, 49,547.72 and 22,463.16

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Solution

The fourth proportional to 35,886.48, 49,547.72 and 22,463.16 is: 31,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.48 : 49,547.72 = 22,463.16 : x
  2. Step 2: Convert to fraction form
    35,886.48/49,547.72 = 22,463.16/x
  3. Step 3: Cross multiply
    35,886.48x = 49,547.72 × 22,463.16
  4. Step 4: Simplify right side
    35,886.48x = 1,112,998,362.00
  5. Step 5: Solve for x
    x = 1,112,998,362.00/35,886.48
  6. Step 6: Final answer
    x = 31,014.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.