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Finding the Fourth Proportional to 78,877.04, 118,315.56 and 46,022

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Solution

The fourth proportional to 78,877.04, 118,315.56 and 46,022 is: 69,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,877.04 : 118,315.56 = 46,022 : x
  2. Step 2: Convert to fraction form
    78,877.04/118,315.56 = 46,022/x
  3. Step 3: Cross multiply
    78,877.04x = 118,315.56 × 46,022
  4. Step 4: Simplify right side
    78,877.04x = 5,445,118,702.32
  5. Step 5: Solve for x
    x = 5,445,118,702.32/78,877.04
  6. Step 6: Final answer
    x = 69,033

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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.