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Finding the Fourth Proportional to 97,386.98, 146,099.40 and 37,411.07

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Solution

The fourth proportional to 97,386.98, 146,099.40 and 37,411.07 is: 56,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386.98 : 146,099.40 = 37,411.07 : x
  2. Step 2: Convert to fraction form
    97,386.98/146,099.40 = 37,411.07/x
  3. Step 3: Cross multiply
    97,386.98x = 146,099.40 × 37,411.07
  4. Step 4: Simplify right side
    97,386.98x = 5,465,733,962.81
  5. Step 5: Solve for x
    x = 5,465,733,962.81/97,386.98
  6. Step 6: Final answer
    x = 56,123.87

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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.