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Finding the Fourth Proportional to 78,381.51, 108,164.70 and 42,570.75

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Solution

The fourth proportional to 78,381.51, 108,164.70 and 42,570.75 is: 58,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381.51 : 108,164.70 = 42,570.75 : x
  2. Step 2: Convert to fraction form
    78,381.51/108,164.70 = 42,570.75/x
  3. Step 3: Cross multiply
    78,381.51x = 108,164.70 × 42,570.75
  4. Step 4: Simplify right side
    78,381.51x = 4,604,652,402.53
  5. Step 5: Solve for x
    x = 4,604,652,402.53/78,381.51
  6. Step 6: Final answer
    x = 58,746.67

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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.