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Finding the Fourth Proportional to 97,615.53, 146,424.51 and 31,055.40

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Solution

The fourth proportional to 97,615.53, 146,424.51 and 31,055.40 is: 46,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,615.53 : 146,424.51 = 31,055.40 : x
  2. Step 2: Convert to fraction form
    97,615.53/146,424.51 = 31,055.40/x
  3. Step 3: Cross multiply
    97,615.53x = 146,424.51 × 31,055.40
  4. Step 4: Simplify right side
    97,615.53x = 4,547,271,727.85
  5. Step 5: Solve for x
    x = 4,547,271,727.85/97,615.53
  6. Step 6: Final answer
    x = 46,583.49

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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.