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Finding the Fourth Proportional to 97,237.59, 145,881 and 27,116.91

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Solution

The fourth proportional to 97,237.59, 145,881 and 27,116.91 is: 40,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,237.59 : 145,881 = 27,116.91 : x
  2. Step 2: Convert to fraction form
    97,237.59/145,881 = 27,116.91/x
  3. Step 3: Cross multiply
    97,237.59x = 145,881 × 27,116.91
  4. Step 4: Simplify right side
    97,237.59x = 3,955,841,947.71
  5. Step 5: Solve for x
    x = 3,955,841,947.71/97,237.59
  6. Step 6: Final answer
    x = 40,682.23

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1.5x scale

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.