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Finding the Fourth Proportional to 52,346, 78,413.88 and 25,970.96

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Solution

The fourth proportional to 52,346, 78,413.88 and 25,970.96 is: 38,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346 : 78,413.88 = 25,970.96 : x
  2. Step 2: Convert to fraction form
    52,346/78,413.88 = 25,970.96/x
  3. Step 3: Cross multiply
    52,346x = 78,413.88 × 25,970.96
  4. Step 4: Simplify right side
    52,346x = 2,036,483,740.92
  5. Step 5: Solve for x
    x = 2,036,483,740.92/52,346
  6. Step 6: Final answer
    x = 38,904.29

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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.