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Finding the Fourth Proportional to 62,178, 93,267.64 and 34,534.16

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Solution

The fourth proportional to 62,178, 93,267.64 and 34,534.16 is: 51,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,178 : 93,267.64 = 34,534.16 : x
  2. Step 2: Convert to fraction form
    62,178/93,267.64 = 34,534.16/x
  3. Step 3: Cross multiply
    62,178x = 93,267.64 × 34,534.16
  4. Step 4: Simplify right side
    62,178x = 3,220,919,602.58
  5. Step 5: Solve for x
    x = 3,220,919,602.58/62,178
  6. Step 6: Final answer
    x = 51,801.60

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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.