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Finding the Fourth Proportional to 64,711.04, 97,062.72 and 38,072

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Solution

The fourth proportional to 64,711.04, 97,062.72 and 38,072 is: 57,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,711.04 : 97,062.72 = 38,072 : x
  2. Step 2: Convert to fraction form
    64,711.04/97,062.72 = 38,072/x
  3. Step 3: Cross multiply
    64,711.04x = 97,062.72 × 38,072
  4. Step 4: Simplify right side
    64,711.04x = 3,695,371,875.84
  5. Step 5: Solve for x
    x = 3,695,371,875.84/64,711.04
  6. Step 6: Final answer
    x = 57,105.74

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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.