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Finding the Fourth Proportional to 97,749, 134,894.34 and 53,037

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Solution

The fourth proportional to 97,749, 134,894.34 and 53,037 is: 73,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,749 : 134,894.34 = 53,037 : x
  2. Step 2: Convert to fraction form
    97,749/134,894.34 = 53,037/x
  3. Step 3: Cross multiply
    97,749x = 134,894.34 × 53,037
  4. Step 4: Simplify right side
    97,749x = 7,154,391,110.58
  5. Step 5: Solve for x
    x = 7,154,391,110.58/97,749
  6. Step 6: Final answer
    x = 73,191.45

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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.