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Finding the Fourth Proportional to 97,312.59, 146,024.30 and 64,048.32

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Solution

The fourth proportional to 97,312.59, 146,024.30 and 64,048.32 is: 96,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,312.59 : 146,024.30 = 64,048.32 : x
  2. Step 2: Convert to fraction form
    97,312.59/146,024.30 = 64,048.32/x
  3. Step 3: Cross multiply
    97,312.59x = 146,024.30 × 64,048.32
  4. Step 4: Simplify right side
    97,312.59x = 9,352,610,773.93
  5. Step 5: Solve for x
    x = 9,352,610,773.93/97,312.59
  6. Step 6: Final answer
    x = 96,108.95

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1.5x scale

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.