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Finding the Fourth Proportional to 117,762.70, 176,702.47 and 46,683.83

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Solution

The fourth proportional to 117,762.70, 176,702.47 and 46,683.83 is: 70,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,762.70 : 176,702.47 = 46,683.83 : x
  2. Step 2: Convert to fraction form
    117,762.70/176,702.47 = 46,683.83/x
  3. Step 3: Cross multiply
    117,762.70x = 176,702.47 × 46,683.83
  4. Step 4: Simplify right side
    117,762.70x = 8,249,148,070.06
  5. Step 5: Solve for x
    x = 8,249,148,070.06/117,762.70
  6. Step 6: Final answer
    x = 70,048.90

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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.