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Finding the Fourth Proportional to 46,897.60, 70,355.52 and 15,316.48

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Solution

The fourth proportional to 46,897.60, 70,355.52 and 15,316.48 is: 22,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897.60 : 70,355.52 = 15,316.48 : x
  2. Step 2: Convert to fraction form
    46,897.60/70,355.52 = 15,316.48/x
  3. Step 3: Cross multiply
    46,897.60x = 70,355.52 × 15,316.48
  4. Step 4: Simplify right side
    46,897.60x = 1,077,598,914.97
  5. Step 5: Solve for x
    x = 1,077,598,914.97/46,897.60
  6. Step 6: Final answer
    x = 22,977.70

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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.