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Finding the Fourth Proportional to 97,870.54, 146,808.86 and 46,567.96

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Solution

The fourth proportional to 97,870.54, 146,808.86 and 46,567.96 is: 69,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870.54 : 146,808.86 = 46,567.96 : x
  2. Step 2: Convert to fraction form
    97,870.54/146,808.86 = 46,567.96/x
  3. Step 3: Cross multiply
    97,870.54x = 146,808.86 × 46,567.96
  4. Step 4: Simplify right side
    97,870.54x = 6,836,588,887.29
  5. Step 5: Solve for x
    x = 6,836,588,887.29/97,870.54
  6. Step 6: Final answer
    x = 69,853.39

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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.