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Finding the Fourth Proportional to 93,686.98, 129,284.81 and 53,413.71

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Solution

The fourth proportional to 93,686.98, 129,284.81 and 53,413.71 is: 73,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,686.98 : 129,284.81 = 53,413.71 : x
  2. Step 2: Convert to fraction form
    93,686.98/129,284.81 = 53,413.71/x
  3. Step 3: Cross multiply
    93,686.98x = 129,284.81 × 53,413.71
  4. Step 4: Simplify right side
    93,686.98x = 6,905,581,524.39
  5. Step 5: Solve for x
    x = 6,905,581,524.39/93,686.98
  6. Step 6: Final answer
    x = 73,709.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.