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Finding the Fourth Proportional to 116,455.76, 174,683.72 and 49,852.76

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Solution

The fourth proportional to 116,455.76, 174,683.72 and 49,852.76 is: 74,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,455.76 : 174,683.72 = 49,852.76 : x
  2. Step 2: Convert to fraction form
    116,455.76/174,683.72 = 49,852.76/x
  3. Step 3: Cross multiply
    116,455.76x = 174,683.72 × 49,852.76
  4. Step 4: Simplify right side
    116,455.76x = 8,708,465,569.07
  5. Step 5: Solve for x
    x = 8,708,465,569.07/116,455.76
  6. Step 6: Final answer
    x = 74,779.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.