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Finding the Fourth Proportional to 34,930.58, 52,399 and 9,970.16

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Solution

The fourth proportional to 34,930.58, 52,399 and 9,970.16 is: 14,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930.58 : 52,399 = 9,970.16 : x
  2. Step 2: Convert to fraction form
    34,930.58/52,399 = 9,970.16/x
  3. Step 3: Cross multiply
    34,930.58x = 52,399 × 9,970.16
  4. Step 4: Simplify right side
    34,930.58x = 522,426,413.84
  5. Step 5: Solve for x
    x = 522,426,413.84/34,930.58
  6. Step 6: Final answer
    x = 14,956.13

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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.