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Finding the Fourth Proportional to 97,547.48, 134,614.68 and 52,835.48

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Solution

The fourth proportional to 97,547.48, 134,614.68 and 52,835.48 is: 72,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,547.48 : 134,614.68 = 52,835.48 : x
  2. Step 2: Convert to fraction form
    97,547.48/134,614.68 = 52,835.48/x
  3. Step 3: Cross multiply
    97,547.48x = 134,614.68 × 52,835.48
  4. Step 4: Simplify right side
    97,547.48x = 7,112,431,232.85
  5. Step 5: Solve for x
    x = 7,112,431,232.85/97,547.48
  6. Step 6: Final answer
    x = 72,912.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.