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Finding the Fourth Proportional to 53,297.06, 73,547.32 and 30,620

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Solution

The fourth proportional to 53,297.06, 73,547.32 and 30,620 is: 42,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,297.06 : 73,547.32 = 30,620 : x
  2. Step 2: Convert to fraction form
    53,297.06/73,547.32 = 30,620/x
  3. Step 3: Cross multiply
    53,297.06x = 73,547.32 × 30,620
  4. Step 4: Simplify right side
    53,297.06x = 2,252,018,938.40
  5. Step 5: Solve for x
    x = 2,252,018,938.40/53,297.06
  6. Step 6: Final answer
    x = 42,254.09

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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.