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Finding the Fourth Proportional to 48,973.60, 73,460.40 and 31,477.60

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Solution

The fourth proportional to 48,973.60, 73,460.40 and 31,477.60 is: 47,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973.60 : 73,460.40 = 31,477.60 : x
  2. Step 2: Convert to fraction form
    48,973.60/73,460.40 = 31,477.60/x
  3. Step 3: Cross multiply
    48,973.60x = 73,460.40 × 31,477.60
  4. Step 4: Simplify right side
    48,973.60x = 2,312,357,087.04
  5. Step 5: Solve for x
    x = 2,312,357,087.04/48,973.60
  6. Step 6: Final answer
    x = 47,216.40

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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.