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Finding the Fourth Proportional to 46,565.40, 69,848.10 and 42,410.10

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Solution

The fourth proportional to 46,565.40, 69,848.10 and 42,410.10 is: 63,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,565.40 : 69,848.10 = 42,410.10 : x
  2. Step 2: Convert to fraction form
    46,565.40/69,848.10 = 42,410.10/x
  3. Step 3: Cross multiply
    46,565.40x = 69,848.10 × 42,410.10
  4. Step 4: Simplify right side
    46,565.40x = 2,962,264,905.81
  5. Step 5: Solve for x
    x = 2,962,264,905.81/46,565.40
  6. Step 6: Final answer
    x = 63,615.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.