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Finding the Fourth Proportional to 82,663.60, 114,068.48 and 45,870.74

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Solution

The fourth proportional to 82,663.60, 114,068.48 and 45,870.74 is: 63,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.60 : 114,068.48 = 45,870.74 : x
  2. Step 2: Convert to fraction form
    82,663.60/114,068.48 = 45,870.74/x
  3. Step 3: Cross multiply
    82,663.60x = 114,068.48 × 45,870.74
  4. Step 4: Simplify right side
    82,663.60x = 5,232,405,358.92
  5. Step 5: Solve for x
    x = 5,232,405,358.92/82,663.60
  6. Step 6: Final answer
    x = 63,297.57

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Why These Related Problems?

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