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Finding the Fourth Proportional to 72,617.04, 100,211.58 and 40,788

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Solution

The fourth proportional to 72,617.04, 100,211.58 and 40,788 is: 56,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,617.04 : 100,211.58 = 40,788 : x
  2. Step 2: Convert to fraction form
    72,617.04/100,211.58 = 40,788/x
  3. Step 3: Cross multiply
    72,617.04x = 100,211.58 × 40,788
  4. Step 4: Simplify right side
    72,617.04x = 4,087,429,925.04
  5. Step 5: Solve for x
    x = 4,087,429,925.04/72,617.04
  6. Step 6: Final answer
    x = 56,287.48

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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.