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Finding the Fourth Proportional to 40,991.10, 56,547.69 and 35,316

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Solution

The fourth proportional to 40,991.10, 56,547.69 and 35,316 is: 48,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,991.10 : 56,547.69 = 35,316 : x
  2. Step 2: Convert to fraction form
    40,991.10/56,547.69 = 35,316/x
  3. Step 3: Cross multiply
    40,991.10x = 56,547.69 × 35,316
  4. Step 4: Simplify right side
    40,991.10x = 1,997,038,220.04
  5. Step 5: Solve for x
    x = 1,997,038,220.04/40,991.10
  6. Step 6: Final answer
    x = 48,718.82

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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.