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Finding the Fourth Proportional to 97,776.24, 134,931.24 and 53,064.24

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Solution

The fourth proportional to 97,776.24, 134,931.24 and 53,064.24 is: 73,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776.24 : 134,931.24 = 53,064.24 : x
  2. Step 2: Convert to fraction form
    97,776.24/134,931.24 = 53,064.24/x
  3. Step 3: Cross multiply
    97,776.24x = 134,931.24 × 53,064.24
  4. Step 4: Simplify right side
    97,776.24x = 7,160,023,702.86
  5. Step 5: Solve for x
    x = 7,160,023,702.86/97,776.24
  6. Step 6: Final answer
    x = 73,228.67

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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.