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Finding the Fourth Proportional to 97,810.76, 134,979.54 and 53,098.76

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Solution

The fourth proportional to 97,810.76, 134,979.54 and 53,098.76 is: 73,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,810.76 : 134,979.54 = 53,098.76 : x
  2. Step 2: Convert to fraction form
    97,810.76/134,979.54 = 53,098.76/x
  3. Step 3: Cross multiply
    97,810.76x = 134,979.54 × 53,098.76
  4. Step 4: Simplify right side
    97,810.76x = 7,167,246,199.37
  5. Step 5: Solve for x
    x = 7,167,246,199.37/97,810.76
  6. Step 6: Final answer
    x = 73,276.66

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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.