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Finding the Fourth Proportional to 75,657, 104,406.66 and 42,130.92

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Solution

The fourth proportional to 75,657, 104,406.66 and 42,130.92 is: 58,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657 : 104,406.66 = 42,130.92 : x
  2. Step 2: Convert to fraction form
    75,657/104,406.66 = 42,130.92/x
  3. Step 3: Cross multiply
    75,657x = 104,406.66 × 42,130.92
  4. Step 4: Simplify right side
    75,657x = 4,398,748,639.93
  5. Step 5: Solve for x
    x = 4,398,748,639.93/75,657
  6. Step 6: Final answer
    x = 58,140.67

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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.